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Finding the Fourth Proportional to 7,404.56, 10,209 and 4,747.28

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Solution

The fourth proportional to 7,404.56, 10,209 and 4,747.28 is: 6,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.56 : 10,209 = 4,747.28 : x
  2. Step 2: Convert to fraction form
    7,404.56/10,209 = 4,747.28/x
  3. Step 3: Cross multiply
    7,404.56x = 10,209 × 4,747.28
  4. Step 4: Simplify right side
    7,404.56x = 48,464,981.52
  5. Step 5: Solve for x
    x = 48,464,981.52/7,404.56
  6. Step 6: Final answer
    x = 6,545.29

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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.