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Finding the Fourth Proportional to 8,281.95, 12,418.65 and 2,437.80

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Solution

The fourth proportional to 8,281.95, 12,418.65 and 2,437.80 is: 3,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.95 : 12,418.65 = 2,437.80 : x
  2. Step 2: Convert to fraction form
    8,281.95/12,418.65 = 2,437.80/x
  3. Step 3: Cross multiply
    8,281.95x = 12,418.65 × 2,437.80
  4. Step 4: Simplify right side
    8,281.95x = 30,274,184.97
  5. Step 5: Solve for x
    x = 30,274,184.97/8,281.95
  6. Step 6: Final answer
    x = 3,655.44

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1.5x scale

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.