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Finding the Fourth Proportional to 3,129.72, 4,693.77 and 937.86

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Solution

The fourth proportional to 3,129.72, 4,693.77 and 937.86 is: 1,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.72 : 4,693.77 = 937.86 : x
  2. Step 2: Convert to fraction form
    3,129.72/4,693.77 = 937.86/x
  3. Step 3: Cross multiply
    3,129.72x = 4,693.77 × 937.86
  4. Step 4: Simplify right side
    3,129.72x = 4,402,099.13
  5. Step 5: Solve for x
    x = 4,402,099.13/3,129.72
  6. Step 6: Final answer
    x = 1,406.55

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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.