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Finding the Fourth Proportional to 13,707.47, 18,915.17 and 8,041.62

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Solution

The fourth proportional to 13,707.47, 18,915.17 and 8,041.62 is: 11,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.47 : 18,915.17 = 8,041.62 : x
  2. Step 2: Convert to fraction form
    13,707.47/18,915.17 = 8,041.62/x
  3. Step 3: Cross multiply
    13,707.47x = 18,915.17 × 8,041.62
  4. Step 4: Simplify right side
    13,707.47x = 152,108,569.17
  5. Step 5: Solve for x
    x = 152,108,569.17/13,707.47
  6. Step 6: Final answer
    x = 11,096.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.