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Finding the Fourth Proportional to 7,151.90, 9,869.58 and 4,502.79

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Solution

The fourth proportional to 7,151.90, 9,869.58 and 4,502.79 is: 6,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.90 : 9,869.58 = 4,502.79 : x
  2. Step 2: Convert to fraction form
    7,151.90/9,869.58 = 4,502.79/x
  3. Step 3: Cross multiply
    7,151.90x = 9,869.58 × 4,502.79
  4. Step 4: Simplify right side
    7,151.90x = 44,440,646.13
  5. Step 5: Solve for x
    x = 44,440,646.13/7,151.90
  6. Step 6: Final answer
    x = 6,213.83

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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.