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Finding the Fourth Proportional to 8,252.79, 12,381 and 4,095.06

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Solution

The fourth proportional to 8,252.79, 12,381 and 4,095.06 is: 6,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.79 : 12,381 = 4,095.06 : x
  2. Step 2: Convert to fraction form
    8,252.79/12,381 = 4,095.06/x
  3. Step 3: Cross multiply
    8,252.79x = 12,381 × 4,095.06
  4. Step 4: Simplify right side
    8,252.79x = 50,700,937.86
  5. Step 5: Solve for x
    x = 50,700,937.86/8,252.79
  6. Step 6: Final answer
    x = 6,143.49

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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.