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Finding the Fourth Proportional to 3,129.02, 4,693.49 and 937.77

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Solution

The fourth proportional to 3,129.02, 4,693.49 and 937.77 is: 1,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.02 : 4,693.49 = 937.77 : x
  2. Step 2: Convert to fraction form
    3,129.02/4,693.49 = 937.77/x
  3. Step 3: Cross multiply
    3,129.02x = 4,693.49 × 937.77
  4. Step 4: Simplify right side
    3,129.02x = 4,401,414.12
  5. Step 5: Solve for x
    x = 4,401,414.12/3,129.02
  6. Step 6: Final answer
    x = 1,406.64

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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.