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Finding the Fourth Proportional to 10,857.71, 14,974.39 and 8,345.90

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Solution

The fourth proportional to 10,857.71, 14,974.39 and 8,345.90 is: 11,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.71 : 14,974.39 = 8,345.90 : x
  2. Step 2: Convert to fraction form
    10,857.71/14,974.39 = 8,345.90/x
  3. Step 3: Cross multiply
    10,857.71x = 14,974.39 × 8,345.90
  4. Step 4: Simplify right side
    10,857.71x = 124,974,761.50
  5. Step 5: Solve for x
    x = 124,974,761.50/10,857.71
  6. Step 6: Final answer
    x = 11,510.23

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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.