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Finding the Fourth Proportional to 9,882.50, 13,640.13 and 6,525.98

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Solution

The fourth proportional to 9,882.50, 13,640.13 and 6,525.98 is: 9,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.50 : 13,640.13 = 6,525.98 : x
  2. Step 2: Convert to fraction form
    9,882.50/13,640.13 = 6,525.98/x
  3. Step 3: Cross multiply
    9,882.50x = 13,640.13 × 6,525.98
  4. Step 4: Simplify right side
    9,882.50x = 89,015,215.58
  5. Step 5: Solve for x
    x = 89,015,215.58/9,882.50
  6. Step 6: Final answer
    x = 9,007.36

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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.