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Finding the Fourth Proportional to 5,165.74, 7,128.42 and 2,807.86

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Solution

The fourth proportional to 5,165.74, 7,128.42 and 2,807.86 is: 3,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.74 : 7,128.42 = 2,807.86 : x
  2. Step 2: Convert to fraction form
    5,165.74/7,128.42 = 2,807.86/x
  3. Step 3: Cross multiply
    5,165.74x = 7,128.42 × 2,807.86
  4. Step 4: Simplify right side
    5,165.74x = 20,015,605.38
  5. Step 5: Solve for x
    x = 20,015,605.38/5,165.74
  6. Step 6: Final answer
    x = 3,874.68

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Half scale
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Double scale
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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.