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Finding the Fourth Proportional to 11,461.64, 15,823.96 and 7,489.40

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Solution

The fourth proportional to 11,461.64, 15,823.96 and 7,489.40 is: 10,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.64 : 15,823.96 = 7,489.40 : x
  2. Step 2: Convert to fraction form
    11,461.64/15,823.96 = 7,489.40/x
  3. Step 3: Cross multiply
    11,461.64x = 15,823.96 × 7,489.40
  4. Step 4: Simplify right side
    11,461.64x = 118,511,868.18
  5. Step 5: Solve for x
    x = 118,511,868.18/11,461.64
  6. Step 6: Final answer
    x = 10,339.87

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Why These Related Problems?

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