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Finding the Fourth Proportional to 11,497.17, 15,866.19 and 6,461.28

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Solution

The fourth proportional to 11,497.17, 15,866.19 and 6,461.28 is: 8,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.17 : 15,866.19 = 6,461.28 : x
  2. Step 2: Convert to fraction form
    11,497.17/15,866.19 = 6,461.28/x
  3. Step 3: Cross multiply
    11,497.17x = 15,866.19 × 6,461.28
  4. Step 4: Simplify right side
    11,497.17x = 102,515,896.12
  5. Step 5: Solve for x
    x = 102,515,896.12/11,497.17
  6. Step 6: Final answer
    x = 8,916.62

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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.