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Finding the Fourth Proportional to 8,957.50, 13,370.49 and 8,297.75

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Solution

The fourth proportional to 8,957.50, 13,370.49 and 8,297.75 is: 12,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.50 : 13,370.49 = 8,297.75 : x
  2. Step 2: Convert to fraction form
    8,957.50/13,370.49 = 8,297.75/x
  3. Step 3: Cross multiply
    8,957.50x = 13,370.49 × 8,297.75
  4. Step 4: Simplify right side
    8,957.50x = 110,944,983.40
  5. Step 5: Solve for x
    x = 110,944,983.40/8,957.50
  6. Step 6: Final answer
    x = 12,385.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.