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Finding the Fourth Proportional to 8,282.52, 12,420.12 and 4,386

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Solution

The fourth proportional to 8,282.52, 12,420.12 and 4,386 is: 6,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.52 : 12,420.12 = 4,386 : x
  2. Step 2: Convert to fraction form
    8,282.52/12,420.12 = 4,386/x
  3. Step 3: Cross multiply
    8,282.52x = 12,420.12 × 4,386
  4. Step 4: Simplify right side
    8,282.52x = 54,474,646.32
  5. Step 5: Solve for x
    x = 54,474,646.32/8,282.52
  6. Step 6: Final answer
    x = 6,577.06

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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.