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Finding the Fourth Proportional to 40,262, 60,401.64 and 15,638

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Solution

The fourth proportional to 40,262, 60,401.64 and 15,638 is: 23,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,262 : 60,401.64 = 15,638 : x
  2. Step 2: Convert to fraction form
    40,262/60,401.64 = 15,638/x
  3. Step 3: Cross multiply
    40,262x = 60,401.64 × 15,638
  4. Step 4: Simplify right side
    40,262x = 944,560,846.32
  5. Step 5: Solve for x
    x = 944,560,846.32/40,262
  6. Step 6: Final answer
    x = 23,460.36

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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.