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Finding the Fourth Proportional to 12,294.64, 16,966.02 and 6,988.87

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Solution

The fourth proportional to 12,294.64, 16,966.02 and 6,988.87 is: 9,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.64 : 16,966.02 = 6,988.87 : x
  2. Step 2: Convert to fraction form
    12,294.64/16,966.02 = 6,988.87/x
  3. Step 3: Cross multiply
    12,294.64x = 16,966.02 × 6,988.87
  4. Step 4: Simplify right side
    12,294.64x = 118,573,308.20
  5. Step 5: Solve for x
    x = 118,573,308.20/12,294.64
  6. Step 6: Final answer
    x = 9,644.31

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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.