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Finding the Fourth Proportional to 5,612.71, 8,409.76 and 3,414.79

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Solution

The fourth proportional to 5,612.71, 8,409.76 and 3,414.79 is: 5,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.71 : 8,409.76 = 3,414.79 : x
  2. Step 2: Convert to fraction form
    5,612.71/8,409.76 = 3,414.79/x
  3. Step 3: Cross multiply
    5,612.71x = 8,409.76 × 3,414.79
  4. Step 4: Simplify right side
    5,612.71x = 28,717,564.35
  5. Step 5: Solve for x
    x = 28,717,564.35/5,612.71
  6. Step 6: Final answer
    x = 5,116.52

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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.