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Finding the Fourth Proportional to 8,203.97, 12,311.42 and 7,657.22

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Solution

The fourth proportional to 8,203.97, 12,311.42 and 7,657.22 is: 11,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.97 : 12,311.42 = 7,657.22 : x
  2. Step 2: Convert to fraction form
    8,203.97/12,311.42 = 7,657.22/x
  3. Step 3: Cross multiply
    8,203.97x = 12,311.42 × 7,657.22
  4. Step 4: Simplify right side
    8,203.97x = 94,271,151.61
  5. Step 5: Solve for x
    x = 94,271,151.61/8,203.97
  6. Step 6: Final answer
    x = 11,490.93

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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.