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Finding the Fourth Proportional to 30,337.91, 45,471.13 and 13,678.44

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Solution

The fourth proportional to 30,337.91, 45,471.13 and 13,678.44 is: 20,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,337.91 : 45,471.13 = 13,678.44 : x
  2. Step 2: Convert to fraction form
    30,337.91/45,471.13 = 13,678.44/x
  3. Step 3: Cross multiply
    30,337.91x = 45,471.13 × 13,678.44
  4. Step 4: Simplify right side
    30,337.91x = 621,973,918.72
  5. Step 5: Solve for x
    x = 621,973,918.72/30,337.91
  6. Step 6: Final answer
    x = 20,501.54

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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.