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Finding the Fourth Proportional to 8,259.50, 12,379.88 and 4,102.40

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Solution

The fourth proportional to 8,259.50, 12,379.88 and 4,102.40 is: 6,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.50 : 12,379.88 = 4,102.40 : x
  2. Step 2: Convert to fraction form
    8,259.50/12,379.88 = 4,102.40/x
  3. Step 3: Cross multiply
    8,259.50x = 12,379.88 × 4,102.40
  4. Step 4: Simplify right side
    8,259.50x = 50,787,168.07
  5. Step 5: Solve for x
    x = 50,787,168.07/8,259.50
  6. Step 6: Final answer
    x = 6,148.94

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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.