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Finding the Fourth Proportional to 9,489.64, 14,215.39 and 4,731.46

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Solution

The fourth proportional to 9,489.64, 14,215.39 and 4,731.46 is: 7,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.64 : 14,215.39 = 4,731.46 : x
  2. Step 2: Convert to fraction form
    9,489.64/14,215.39 = 4,731.46/x
  3. Step 3: Cross multiply
    9,489.64x = 14,215.39 × 4,731.46
  4. Step 4: Simplify right side
    9,489.64x = 67,259,549.17
  5. Step 5: Solve for x
    x = 67,259,549.17/9,489.64
  6. Step 6: Final answer
    x = 7,087.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.