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Finding the Fourth Proportional to 1,540.95, 2,124.32 and 951.09

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Solution

The fourth proportional to 1,540.95, 2,124.32 and 951.09 is: 1,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.95 : 2,124.32 = 951.09 : x
  2. Step 2: Convert to fraction form
    1,540.95/2,124.32 = 951.09/x
  3. Step 3: Cross multiply
    1,540.95x = 2,124.32 × 951.09
  4. Step 4: Simplify right side
    1,540.95x = 2,020,414.75
  5. Step 5: Solve for x
    x = 2,020,414.75/1,540.95
  6. Step 6: Final answer
    x = 1,311.15

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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.