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Finding the Fourth Proportional to 36,478.90, 54,695.28 and 15,407.98

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Solution

The fourth proportional to 36,478.90, 54,695.28 and 15,407.98 is: 23,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478.90 : 54,695.28 = 15,407.98 : x
  2. Step 2: Convert to fraction form
    36,478.90/54,695.28 = 15,407.98/x
  3. Step 3: Cross multiply
    36,478.90x = 54,695.28 × 15,407.98
  4. Step 4: Simplify right side
    36,478.90x = 842,743,780.33
  5. Step 5: Solve for x
    x = 842,743,780.33/36,478.90
  6. Step 6: Final answer
    x = 23,102.23

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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.