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Finding the Fourth Proportional to 3,115.92, 4,673.84 and 807.40

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Solution

The fourth proportional to 3,115.92, 4,673.84 and 807.40 is: 1,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.92 : 4,673.84 = 807.40 : x
  2. Step 2: Convert to fraction form
    3,115.92/4,673.84 = 807.40/x
  3. Step 3: Cross multiply
    3,115.92x = 4,673.84 × 807.40
  4. Step 4: Simplify right side
    3,115.92x = 3,773,658.42
  5. Step 5: Solve for x
    x = 3,773,658.42/3,115.92
  6. Step 6: Final answer
    x = 1,211.09

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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.