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Finding the Fourth Proportional to 8,728.50, 12,995.35 and 8,223.06

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Solution

The fourth proportional to 8,728.50, 12,995.35 and 8,223.06 is: 12,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.50 : 12,995.35 = 8,223.06 : x
  2. Step 2: Convert to fraction form
    8,728.50/12,995.35 = 8,223.06/x
  3. Step 3: Cross multiply
    8,728.50x = 12,995.35 × 8,223.06
  4. Step 4: Simplify right side
    8,728.50x = 106,861,542.77
  5. Step 5: Solve for x
    x = 106,861,542.77/8,728.50
  6. Step 6: Final answer
    x = 12,242.83

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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.