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Finding the Fourth Proportional to 8,312.52, 12,468.78 and 3,047.77

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Solution

The fourth proportional to 8,312.52, 12,468.78 and 3,047.77 is: 4,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.52 : 12,468.78 = 3,047.77 : x
  2. Step 2: Convert to fraction form
    8,312.52/12,468.78 = 3,047.77/x
  3. Step 3: Cross multiply
    8,312.52x = 12,468.78 × 3,047.77
  4. Step 4: Simplify right side
    8,312.52x = 38,001,958.38
  5. Step 5: Solve for x
    x = 38,001,958.38/8,312.52
  6. Step 6: Final answer
    x = 4,571.65

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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.