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Finding the Fourth Proportional to 8,330.83, 12,492 and 2,782.18

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Solution

The fourth proportional to 8,330.83, 12,492 and 2,782.18 is: 4,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.83 : 12,492 = 2,782.18 : x
  2. Step 2: Convert to fraction form
    8,330.83/12,492 = 2,782.18/x
  3. Step 3: Cross multiply
    8,330.83x = 12,492 × 2,782.18
  4. Step 4: Simplify right side
    8,330.83x = 34,754,992.56
  5. Step 5: Solve for x
    x = 34,754,992.56/8,330.83
  6. Step 6: Final answer
    x = 4,171.85

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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.