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Finding the Fourth Proportional to 10,857.71, 14,981.71 and 6,382.38

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Solution

The fourth proportional to 10,857.71, 14,981.71 and 6,382.38 is: 8,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.71 : 14,981.71 = 6,382.38 : x
  2. Step 2: Convert to fraction form
    10,857.71/14,981.71 = 6,382.38/x
  3. Step 3: Cross multiply
    10,857.71x = 14,981.71 × 6,382.38
  4. Step 4: Simplify right side
    10,857.71x = 95,618,934.19
  5. Step 5: Solve for x
    x = 95,618,934.19/10,857.71
  6. Step 6: Final answer
    x = 8,806.55

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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.