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Finding the Fourth Proportional to 30,452.28, 45,686.31 and 9,391.86

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Solution

The fourth proportional to 30,452.28, 45,686.31 and 9,391.86 is: 14,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.28 : 45,686.31 = 9,391.86 : x
  2. Step 2: Convert to fraction form
    30,452.28/45,686.31 = 9,391.86/x
  3. Step 3: Cross multiply
    30,452.28x = 45,686.31 × 9,391.86
  4. Step 4: Simplify right side
    30,452.28x = 429,079,306.56
  5. Step 5: Solve for x
    x = 429,079,306.56/30,452.28
  6. Step 6: Final answer
    x = 14,090.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.