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Finding the Fourth Proportional to 8,289.64, 12,433.10 and 2,444.90

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Solution

The fourth proportional to 8,289.64, 12,433.10 and 2,444.90 is: 3,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.64 : 12,433.10 = 2,444.90 : x
  2. Step 2: Convert to fraction form
    8,289.64/12,433.10 = 2,444.90/x
  3. Step 3: Cross multiply
    8,289.64x = 12,433.10 × 2,444.90
  4. Step 4: Simplify right side
    8,289.64x = 30,397,686.19
  5. Step 5: Solve for x
    x = 30,397,686.19/8,289.64
  6. Step 6: Final answer
    x = 3,666.95

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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.