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Finding the Fourth Proportional to 13,241, 18,275.12 and 7,864.64

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Solution

The fourth proportional to 13,241, 18,275.12 and 7,864.64 is: 10,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241 : 18,275.12 = 7,864.64 : x
  2. Step 2: Convert to fraction form
    13,241/18,275.12 = 7,864.64/x
  3. Step 3: Cross multiply
    13,241x = 18,275.12 × 7,864.64
  4. Step 4: Simplify right side
    13,241x = 143,727,239.76
  5. Step 5: Solve for x
    x = 143,727,239.76/13,241
  6. Step 6: Final answer
    x = 10,854.71

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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.