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Finding the Fourth Proportional to 9,882.74, 13,643.16 and 7,639.55

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Solution

The fourth proportional to 9,882.74, 13,643.16 and 7,639.55 is: 10,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.74 : 13,643.16 = 7,639.55 : x
  2. Step 2: Convert to fraction form
    9,882.74/13,643.16 = 7,639.55/x
  3. Step 3: Cross multiply
    9,882.74x = 13,643.16 × 7,639.55
  4. Step 4: Simplify right side
    9,882.74x = 104,227,602.98
  5. Step 5: Solve for x
    x = 104,227,602.98/9,882.74
  6. Step 6: Final answer
    x = 10,546.43

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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.