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Finding the Fourth Proportional to 3,152.61, 4,727.61 and 1,691.49

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Solution

The fourth proportional to 3,152.61, 4,727.61 and 1,691.49 is: 2,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.61 : 4,727.61 = 1,691.49 : x
  2. Step 2: Convert to fraction form
    3,152.61/4,727.61 = 1,691.49/x
  3. Step 3: Cross multiply
    3,152.61x = 4,727.61 × 1,691.49
  4. Step 4: Simplify right side
    3,152.61x = 7,996,705.04
  5. Step 5: Solve for x
    x = 7,996,705.04/3,152.61
  6. Step 6: Final answer
    x = 2,536.53

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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.