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Finding the Fourth Proportional to 1,541.60, 2,126.54 and 951.71

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Solution

The fourth proportional to 1,541.60, 2,126.54 and 951.71 is: 1,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.60 : 2,126.54 = 951.71 : x
  2. Step 2: Convert to fraction form
    1,541.60/2,126.54 = 951.71/x
  3. Step 3: Cross multiply
    1,541.60x = 2,126.54 × 951.71
  4. Step 4: Simplify right side
    1,541.60x = 2,023,844.62
  5. Step 5: Solve for x
    x = 2,023,844.62/1,541.60
  6. Step 6: Final answer
    x = 1,312.83

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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.