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Finding the Fourth Proportional to 9,865.63, 13,617.62 and 6,882.49

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Solution

The fourth proportional to 9,865.63, 13,617.62 and 6,882.49 is: 9,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.63 : 13,617.62 = 6,882.49 : x
  2. Step 2: Convert to fraction form
    9,865.63/13,617.62 = 6,882.49/x
  3. Step 3: Cross multiply
    9,865.63x = 13,617.62 × 6,882.49
  4. Step 4: Simplify right side
    9,865.63x = 93,723,133.47
  5. Step 5: Solve for x
    x = 93,723,133.47/9,865.63
  6. Step 6: Final answer
    x = 9,499.96

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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.