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Finding the Fourth Proportional to 8,264, 12,376.56 and 6,320

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Solution

The fourth proportional to 8,264, 12,376.56 and 6,320 is: 9,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264 : 12,376.56 = 6,320 : x
  2. Step 2: Convert to fraction form
    8,264/12,376.56 = 6,320/x
  3. Step 3: Cross multiply
    8,264x = 12,376.56 × 6,320
  4. Step 4: Simplify right side
    8,264x = 78,219,859.20
  5. Step 5: Solve for x
    x = 78,219,859.20/8,264
  6. Step 6: Final answer
    x = 9,465.13

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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.