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Finding the Fourth Proportional to 5,631.68, 8,442.12 and 3,685.52

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Solution

The fourth proportional to 5,631.68, 8,442.12 and 3,685.52 is: 5,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.68 : 8,442.12 = 3,685.52 : x
  2. Step 2: Convert to fraction form
    5,631.68/8,442.12 = 3,685.52/x
  3. Step 3: Cross multiply
    5,631.68x = 8,442.12 × 3,685.52
  4. Step 4: Simplify right side
    5,631.68x = 31,113,602.10
  5. Step 5: Solve for x
    x = 31,113,602.10/5,631.68
  6. Step 6: Final answer
    x = 5,524.75

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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.