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Finding the Fourth Proportional to 11,459.24, 15,813.76 and 6,491.24

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Solution

The fourth proportional to 11,459.24, 15,813.76 and 6,491.24 is: 8,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.24 : 15,813.76 = 6,491.24 : x
  2. Step 2: Convert to fraction form
    11,459.24/15,813.76 = 6,491.24/x
  3. Step 3: Cross multiply
    11,459.24x = 15,813.76 × 6,491.24
  4. Step 4: Simplify right side
    11,459.24x = 102,650,911.46
  5. Step 5: Solve for x
    x = 102,650,911.46/11,459.24
  6. Step 6: Final answer
    x = 8,957.92

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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.