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Finding the Fourth Proportional to 10,689.76, 14,759.84 and 6,915.20

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Solution

The fourth proportional to 10,689.76, 14,759.84 and 6,915.20 is: 9,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.76 : 14,759.84 = 6,915.20 : x
  2. Step 2: Convert to fraction form
    10,689.76/14,759.84 = 6,915.20/x
  3. Step 3: Cross multiply
    10,689.76x = 14,759.84 × 6,915.20
  4. Step 4: Simplify right side
    10,689.76x = 102,067,245.57
  5. Step 5: Solve for x
    x = 102,067,245.57/10,689.76
  6. Step 6: Final answer
    x = 9,548.13

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1.5x scale

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.