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Finding the Fourth Proportional to 8,642.30, 12,962.03 and 3,094.81

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Solution

The fourth proportional to 8,642.30, 12,962.03 and 3,094.81 is: 4,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.30 : 12,962.03 = 3,094.81 : x
  2. Step 2: Convert to fraction form
    8,642.30/12,962.03 = 3,094.81/x
  3. Step 3: Cross multiply
    8,642.30x = 12,962.03 × 3,094.81
  4. Step 4: Simplify right side
    8,642.30x = 40,114,972.19
  5. Step 5: Solve for x
    x = 40,114,972.19/8,642.30
  6. Step 6: Final answer
    x = 4,641.70

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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.