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Finding the Fourth Proportional to 2,281.52, 3,148.11 and 1,574.79

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Solution

The fourth proportional to 2,281.52, 3,148.11 and 1,574.79 is: 2,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.52 : 3,148.11 = 1,574.79 : x
  2. Step 2: Convert to fraction form
    2,281.52/3,148.11 = 1,574.79/x
  3. Step 3: Cross multiply
    2,281.52x = 3,148.11 × 1,574.79
  4. Step 4: Simplify right side
    2,281.52x = 4,957,612.15
  5. Step 5: Solve for x
    x = 4,957,612.15/2,281.52
  6. Step 6: Final answer
    x = 2,172.95

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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.