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Finding the Fourth Proportional to 15,209.71, 22,815.47 and 7,313.83

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Solution

The fourth proportional to 15,209.71, 22,815.47 and 7,313.83 is: 10,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.71 : 22,815.47 = 7,313.83 : x
  2. Step 2: Convert to fraction form
    15,209.71/22,815.47 = 7,313.83/x
  3. Step 3: Cross multiply
    15,209.71x = 22,815.47 × 7,313.83
  4. Step 4: Simplify right side
    15,209.71x = 166,868,430.20
  5. Step 5: Solve for x
    x = 166,868,430.20/15,209.71
  6. Step 6: Final answer
    x = 10,971.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.