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Finding the Fourth Proportional to 30,442.43, 45,663.72 and 9,381.79

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Solution

The fourth proportional to 30,442.43, 45,663.72 and 9,381.79 is: 14,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.43 : 45,663.72 = 9,381.79 : x
  2. Step 2: Convert to fraction form
    30,442.43/45,663.72 = 9,381.79/x
  3. Step 3: Cross multiply
    30,442.43x = 45,663.72 × 9,381.79
  4. Step 4: Simplify right side
    30,442.43x = 428,407,317.50
  5. Step 5: Solve for x
    x = 428,407,317.50/30,442.43
  6. Step 6: Final answer
    x = 14,072.71

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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.