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Finding the Fourth Proportional to 9,912.88, 14,891.10 and 6,807.28

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Solution

The fourth proportional to 9,912.88, 14,891.10 and 6,807.28 is: 10,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.88 : 14,891.10 = 6,807.28 : x
  2. Step 2: Convert to fraction form
    9,912.88/14,891.10 = 6,807.28/x
  3. Step 3: Cross multiply
    9,912.88x = 14,891.10 × 6,807.28
  4. Step 4: Simplify right side
    9,912.88x = 101,367,887.21
  5. Step 5: Solve for x
    x = 101,367,887.21/9,912.88
  6. Step 6: Final answer
    x = 10,225.88

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1.5x scale

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.