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Finding the Fourth Proportional to 8,312.27, 12,468.83 and 7,891.88

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Solution

The fourth proportional to 8,312.27, 12,468.83 and 7,891.88 is: 11,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.27 : 12,468.83 = 7,891.88 : x
  2. Step 2: Convert to fraction form
    8,312.27/12,468.83 = 7,891.88/x
  3. Step 3: Cross multiply
    8,312.27x = 12,468.83 × 7,891.88
  4. Step 4: Simplify right side
    8,312.27x = 98,402,408.30
  5. Step 5: Solve for x
    x = 98,402,408.30/8,312.27
  6. Step 6: Final answer
    x = 11,838.22

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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.