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Finding the Fourth Proportional to 10,195, 14,034.54 and 9,146.68

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Solution

The fourth proportional to 10,195, 14,034.54 and 9,146.68 is: 12,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195 : 14,034.54 = 9,146.68 : x
  2. Step 2: Convert to fraction form
    10,195/14,034.54 = 9,146.68/x
  3. Step 3: Cross multiply
    10,195x = 14,034.54 × 9,146.68
  4. Step 4: Simplify right side
    10,195x = 128,369,446.33
  5. Step 5: Solve for x
    x = 128,369,446.33/10,195
  6. Step 6: Final answer
    x = 12,591.41

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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.