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Finding the Fourth Proportional to 8,324.34, 12,488.67 and 4,164.18

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Solution

The fourth proportional to 8,324.34, 12,488.67 and 4,164.18 is: 6,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.34 : 12,488.67 = 4,164.18 : x
  2. Step 2: Convert to fraction form
    8,324.34/12,488.67 = 4,164.18/x
  3. Step 3: Cross multiply
    8,324.34x = 12,488.67 × 4,164.18
  4. Step 4: Simplify right side
    8,324.34x = 52,005,069.84
  5. Step 5: Solve for x
    x = 52,005,069.84/8,324.34
  6. Step 6: Final answer
    x = 6,247.35

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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.