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Finding the Fourth Proportional to 30,472.89, 41,964.87 and 25,118.50

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Solution

The fourth proportional to 30,472.89, 41,964.87 and 25,118.50 is: 34,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.89 : 41,964.87 = 25,118.50 : x
  2. Step 2: Convert to fraction form
    30,472.89/41,964.87 = 25,118.50/x
  3. Step 3: Cross multiply
    30,472.89x = 41,964.87 × 25,118.50
  4. Step 4: Simplify right side
    30,472.89x = 1,054,094,587.10
  5. Step 5: Solve for x
    x = 1,054,094,587.10/30,472.89
  6. Step 6: Final answer
    x = 34,591.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.