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Finding the Fourth Proportional to 8,743.44, 13,102.86 and 7,439.78

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Solution

The fourth proportional to 8,743.44, 13,102.86 and 7,439.78 is: 11,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743.44 : 13,102.86 = 7,439.78 : x
  2. Step 2: Convert to fraction form
    8,743.44/13,102.86 = 7,439.78/x
  3. Step 3: Cross multiply
    8,743.44x = 13,102.86 × 7,439.78
  4. Step 4: Simplify right side
    8,743.44x = 97,482,395.77
  5. Step 5: Solve for x
    x = 97,482,395.77/8,743.44
  6. Step 6: Final answer
    x = 11,149.20

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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.