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Finding the Fourth Proportional to 30,454.78, 45,687.10 and 9,389.90

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Solution

The fourth proportional to 30,454.78, 45,687.10 and 9,389.90 is: 14,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454.78 : 45,687.10 = 9,389.90 : x
  2. Step 2: Convert to fraction form
    30,454.78/45,687.10 = 9,389.90/x
  3. Step 3: Cross multiply
    30,454.78x = 45,687.10 × 9,389.90
  4. Step 4: Simplify right side
    30,454.78x = 428,997,300.29
  5. Step 5: Solve for x
    x = 428,997,300.29/30,454.78
  6. Step 6: Final answer
    x = 14,086.37

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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.