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Finding the Fourth Proportional to 10,397.89, 15,562.95 and 7,623.96

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Solution

The fourth proportional to 10,397.89, 15,562.95 and 7,623.96 is: 11,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.89 : 15,562.95 = 7,623.96 : x
  2. Step 2: Convert to fraction form
    10,397.89/15,562.95 = 7,623.96/x
  3. Step 3: Cross multiply
    10,397.89x = 15,562.95 × 7,623.96
  4. Step 4: Simplify right side
    10,397.89x = 118,651,308.28
  5. Step 5: Solve for x
    x = 118,651,308.28/10,397.89
  6. Step 6: Final answer
    x = 11,411.09

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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.