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Finding the Fourth Proportional to 5,228.40, 7,339.20 and 5,228.40

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Solution

The fourth proportional to 5,228.40, 7,339.20 and 5,228.40 is: 7,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.40 : 7,339.20 = 5,228.40 : x
  2. Step 2: Convert to fraction form
    5,228.40/7,339.20 = 5,228.40/x
  3. Step 3: Cross multiply
    5,228.40x = 7,339.20 × 5,228.40
  4. Step 4: Simplify right side
    5,228.40x = 38,372,273.28
  5. Step 5: Solve for x
    x = 38,372,273.28/5,228.40
  6. Step 6: Final answer
    x = 7,339.20

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.