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Finding the Fourth Proportional to 8,641.84, 12,962.21 and 3,094.90

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Solution

The fourth proportional to 8,641.84, 12,962.21 and 3,094.90 is: 4,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.84 : 12,962.21 = 3,094.90 : x
  2. Step 2: Convert to fraction form
    8,641.84/12,962.21 = 3,094.90/x
  3. Step 3: Cross multiply
    8,641.84x = 12,962.21 × 3,094.90
  4. Step 4: Simplify right side
    8,641.84x = 40,116,743.73
  5. Step 5: Solve for x
    x = 40,116,743.73/8,641.84
  6. Step 6: Final answer
    x = 4,642.15

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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.