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Finding the Fourth Proportional to 5,412.75, 7,473.04 and 4,420.40

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Solution

The fourth proportional to 5,412.75, 7,473.04 and 4,420.40 is: 6,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.75 : 7,473.04 = 4,420.40 : x
  2. Step 2: Convert to fraction form
    5,412.75/7,473.04 = 4,420.40/x
  3. Step 3: Cross multiply
    5,412.75x = 7,473.04 × 4,420.40
  4. Step 4: Simplify right side
    5,412.75x = 33,033,826.02
  5. Step 5: Solve for x
    x = 33,033,826.02/5,412.75
  6. Step 6: Final answer
    x = 6,102.97

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.