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Finding the Fourth Proportional to 8,237.78, 12,363.31 and 4,290.24

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Solution

The fourth proportional to 8,237.78, 12,363.31 and 4,290.24 is: 6,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.78 : 12,363.31 = 4,290.24 : x
  2. Step 2: Convert to fraction form
    8,237.78/12,363.31 = 4,290.24/x
  3. Step 3: Cross multiply
    8,237.78x = 12,363.31 × 4,290.24
  4. Step 4: Simplify right side
    8,237.78x = 53,041,571.98
  5. Step 5: Solve for x
    x = 53,041,571.98/8,237.78
  6. Step 6: Final answer
    x = 6,438.82

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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.