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Finding the Fourth Proportional to 8,502, 12,753.72 and 2,346

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Solution

The fourth proportional to 8,502, 12,753.72 and 2,346 is: 3,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502 : 12,753.72 = 2,346 : x
  2. Step 2: Convert to fraction form
    8,502/12,753.72 = 2,346/x
  3. Step 3: Cross multiply
    8,502x = 12,753.72 × 2,346
  4. Step 4: Simplify right side
    8,502x = 29,920,227.12
  5. Step 5: Solve for x
    x = 29,920,227.12/8,502
  6. Step 6: Final answer
    x = 3,519.20

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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.