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Finding the Fourth Proportional to 2,089.76, 3,134.63 and 934.70

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Solution

The fourth proportional to 2,089.76, 3,134.63 and 934.70 is: 1,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.76 : 3,134.63 = 934.70 : x
  2. Step 2: Convert to fraction form
    2,089.76/3,134.63 = 934.70/x
  3. Step 3: Cross multiply
    2,089.76x = 3,134.63 × 934.70
  4. Step 4: Simplify right side
    2,089.76x = 2,929,918.31
  5. Step 5: Solve for x
    x = 2,929,918.31/2,089.76
  6. Step 6: Final answer
    x = 1,402.04

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Similar ratio
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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.