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Finding the Fourth Proportional to 31,996.88, 48,002.88 and 12,275

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Solution

The fourth proportional to 31,996.88, 48,002.88 and 12,275 is: 18,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.88 : 48,002.88 = 12,275 : x
  2. Step 2: Convert to fraction form
    31,996.88/48,002.88 = 12,275/x
  3. Step 3: Cross multiply
    31,996.88x = 48,002.88 × 12,275
  4. Step 4: Simplify right side
    31,996.88x = 589,235,352
  5. Step 5: Solve for x
    x = 589,235,352/31,996.88
  6. Step 6: Final answer
    x = 18,415.40

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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.