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Finding the Fourth Proportional to 5,612.81, 8,414.12 and 3,526.50

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Solution

The fourth proportional to 5,612.81, 8,414.12 and 3,526.50 is: 5,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.81 : 8,414.12 = 3,526.50 : x
  2. Step 2: Convert to fraction form
    5,612.81/8,414.12 = 3,526.50/x
  3. Step 3: Cross multiply
    5,612.81x = 8,414.12 × 3,526.50
  4. Step 4: Simplify right side
    5,612.81x = 29,672,394.18
  5. Step 5: Solve for x
    x = 29,672,394.18/5,612.81
  6. Step 6: Final answer
    x = 5,286.55

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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.