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Finding the Fourth Proportional to 7,149.72, 9,866.58 and 4,355.22

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Solution

The fourth proportional to 7,149.72, 9,866.58 and 4,355.22 is: 6,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.72 : 9,866.58 = 4,355.22 : x
  2. Step 2: Convert to fraction form
    7,149.72/9,866.58 = 4,355.22/x
  3. Step 3: Cross multiply
    7,149.72x = 9,866.58 × 4,355.22
  4. Step 4: Simplify right side
    7,149.72x = 42,971,126.55
  5. Step 5: Solve for x
    x = 42,971,126.55/7,149.72
  6. Step 6: Final answer
    x = 6,010.18

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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.