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Finding the Fourth Proportional to 11,416.47, 15,753.62 and 7,166.17

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Solution

The fourth proportional to 11,416.47, 15,753.62 and 7,166.17 is: 9,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.47 : 15,753.62 = 7,166.17 : x
  2. Step 2: Convert to fraction form
    11,416.47/15,753.62 = 7,166.17/x
  3. Step 3: Cross multiply
    11,416.47x = 15,753.62 × 7,166.17
  4. Step 4: Simplify right side
    11,416.47x = 112,893,119.04
  5. Step 5: Solve for x
    x = 112,893,119.04/11,416.47
  6. Step 6: Final answer
    x = 9,888.62

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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.