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Finding the Fourth Proportional to 8,237.70, 12,363.84 and 7,785.72

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Solution

The fourth proportional to 8,237.70, 12,363.84 and 7,785.72 is: 11,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.70 : 12,363.84 = 7,785.72 : x
  2. Step 2: Convert to fraction form
    8,237.70/12,363.84 = 7,785.72/x
  3. Step 3: Cross multiply
    8,237.70x = 12,363.84 × 7,785.72
  4. Step 4: Simplify right side
    8,237.70x = 96,261,396.36
  5. Step 5: Solve for x
    x = 96,261,396.36/8,237.70
  6. Step 6: Final answer
    x = 11,685.47

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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.