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Finding the Fourth Proportional to 40,590, 60,885.12 and 15,966

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Solution

The fourth proportional to 40,590, 60,885.12 and 15,966 is: 23,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,590 : 60,885.12 = 15,966 : x
  2. Step 2: Convert to fraction form
    40,590/60,885.12 = 15,966/x
  3. Step 3: Cross multiply
    40,590x = 60,885.12 × 15,966
  4. Step 4: Simplify right side
    40,590x = 972,091,825.92
  5. Step 5: Solve for x
    x = 972,091,825.92/40,590
  6. Step 6: Final answer
    x = 23,949.05

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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.