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Finding the Fourth Proportional to 8,184.34, 12,274.08 and 2,989

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Solution

The fourth proportional to 8,184.34, 12,274.08 and 2,989 is: 4,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.34 : 12,274.08 = 2,989 : x
  2. Step 2: Convert to fraction form
    8,184.34/12,274.08 = 2,989/x
  3. Step 3: Cross multiply
    8,184.34x = 12,274.08 × 2,989
  4. Step 4: Simplify right side
    8,184.34x = 36,687,225.12
  5. Step 5: Solve for x
    x = 36,687,225.12/8,184.34
  6. Step 6: Final answer
    x = 4,482.61

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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.