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Finding the Fourth Proportional to 10,613.80, 14,642.50 and 6,627.99

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Solution

The fourth proportional to 10,613.80, 14,642.50 and 6,627.99 is: 9,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.80 : 14,642.50 = 6,627.99 : x
  2. Step 2: Convert to fraction form
    10,613.80/14,642.50 = 6,627.99/x
  3. Step 3: Cross multiply
    10,613.80x = 14,642.50 × 6,627.99
  4. Step 4: Simplify right side
    10,613.80x = 97,050,343.58
  5. Step 5: Solve for x
    x = 97,050,343.58/10,613.80
  6. Step 6: Final answer
    x = 9,143.79

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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.