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Finding the Fourth Proportional to 11,215.46, 15,476.64 and 6,498.92

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Solution

The fourth proportional to 11,215.46, 15,476.64 and 6,498.92 is: 8,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.46 : 15,476.64 = 6,498.92 : x
  2. Step 2: Convert to fraction form
    11,215.46/15,476.64 = 6,498.92/x
  3. Step 3: Cross multiply
    11,215.46x = 15,476.64 × 6,498.92
  4. Step 4: Simplify right side
    11,215.46x = 100,581,445.23
  5. Step 5: Solve for x
    x = 100,581,445.23/11,215.46
  6. Step 6: Final answer
    x = 8,968.11

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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.