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Finding the Fourth Proportional to 8,642.70, 12,964.05 and 4,268.70

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Solution

The fourth proportional to 8,642.70, 12,964.05 and 4,268.70 is: 6,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.70 : 12,964.05 = 4,268.70 : x
  2. Step 2: Convert to fraction form
    8,642.70/12,964.05 = 4,268.70/x
  3. Step 3: Cross multiply
    8,642.70x = 12,964.05 × 4,268.70
  4. Step 4: Simplify right side
    8,642.70x = 55,339,640.24
  5. Step 5: Solve for x
    x = 55,339,640.24/8,642.70
  6. Step 6: Final answer
    x = 6,403.05

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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.