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Finding the Fourth Proportional to 31,773.78, 47,629.68 and 15,129.34

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Solution

The fourth proportional to 31,773.78, 47,629.68 and 15,129.34 is: 22,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.78 : 47,629.68 = 15,129.34 : x
  2. Step 2: Convert to fraction form
    31,773.78/47,629.68 = 15,129.34/x
  3. Step 3: Cross multiply
    31,773.78x = 47,629.68 × 15,129.34
  4. Step 4: Simplify right side
    31,773.78x = 720,605,622.81
  5. Step 5: Solve for x
    x = 720,605,622.81/31,773.78
  6. Step 6: Final answer
    x = 22,679.25

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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.