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Finding the Fourth Proportional to 7,209.71, 9,950.10 and 4,376.43

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Solution

The fourth proportional to 7,209.71, 9,950.10 and 4,376.43 is: 6,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.71 : 9,950.10 = 4,376.43 : x
  2. Step 2: Convert to fraction form
    7,209.71/9,950.10 = 4,376.43/x
  3. Step 3: Cross multiply
    7,209.71x = 9,950.10 × 4,376.43
  4. Step 4: Simplify right side
    7,209.71x = 43,545,916.14
  5. Step 5: Solve for x
    x = 43,545,916.14/7,209.71
  6. Step 6: Final answer
    x = 6,039.90

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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.