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Finding the Fourth Proportional to 10,874.29, 16,283.74 and 7,165.28

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Solution

The fourth proportional to 10,874.29, 16,283.74 and 7,165.28 is: 10,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.29 : 16,283.74 = 7,165.28 : x
  2. Step 2: Convert to fraction form
    10,874.29/16,283.74 = 7,165.28/x
  3. Step 3: Cross multiply
    10,874.29x = 16,283.74 × 7,165.28
  4. Step 4: Simplify right side
    10,874.29x = 116,677,475.13
  5. Step 5: Solve for x
    x = 116,677,475.13/10,874.29
  6. Step 6: Final answer
    x = 10,729.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.