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Finding the Fourth Proportional to 8,242.26, 12,374.06 and 7,079.78

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Solution

The fourth proportional to 8,242.26, 12,374.06 and 7,079.78 is: 10,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.26 : 12,374.06 = 7,079.78 : x
  2. Step 2: Convert to fraction form
    8,242.26/12,374.06 = 7,079.78/x
  3. Step 3: Cross multiply
    8,242.26x = 12,374.06 × 7,079.78
  4. Step 4: Simplify right side
    8,242.26x = 87,605,622.51
  5. Step 5: Solve for x
    x = 87,605,622.51/8,242.26
  6. Step 6: Final answer
    x = 10,628.84

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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.