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Finding the Fourth Proportional to 9,882.42, 13,631.49 and 6,897.15

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Solution

The fourth proportional to 9,882.42, 13,631.49 and 6,897.15 is: 9,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.42 : 13,631.49 = 6,897.15 : x
  2. Step 2: Convert to fraction form
    9,882.42/13,631.49 = 6,897.15/x
  3. Step 3: Cross multiply
    9,882.42x = 13,631.49 × 6,897.15
  4. Step 4: Simplify right side
    9,882.42x = 94,018,431.25
  5. Step 5: Solve for x
    x = 94,018,431.25/9,882.42
  6. Step 6: Final answer
    x = 9,513.71

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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.