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Finding the Fourth Proportional to 7,228.85, 9,976.10 and 5,457.38

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Solution

The fourth proportional to 7,228.85, 9,976.10 and 5,457.38 is: 7,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.85 : 9,976.10 = 5,457.38 : x
  2. Step 2: Convert to fraction form
    7,228.85/9,976.10 = 5,457.38/x
  3. Step 3: Cross multiply
    7,228.85x = 9,976.10 × 5,457.38
  4. Step 4: Simplify right side
    7,228.85x = 54,443,291.45
  5. Step 5: Solve for x
    x = 54,443,291.45/7,228.85
  6. Step 6: Final answer
    x = 7,531.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.