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Finding the Fourth Proportional to 5,605.86, 8,410.12 and 3,142.38

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Solution

The fourth proportional to 5,605.86, 8,410.12 and 3,142.38 is: 4,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.86 : 8,410.12 = 3,142.38 : x
  2. Step 2: Convert to fraction form
    5,605.86/8,410.12 = 3,142.38/x
  3. Step 3: Cross multiply
    5,605.86x = 8,410.12 × 3,142.38
  4. Step 4: Simplify right side
    5,605.86x = 26,427,816.57
  5. Step 5: Solve for x
    x = 26,427,816.57/5,605.86
  6. Step 6: Final answer
    x = 4,714.32

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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.