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Finding the Fourth Proportional to 8,080.16, 12,122 and 7,263.68

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Solution

The fourth proportional to 8,080.16, 12,122 and 7,263.68 is: 10,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,080.16 : 12,122 = 7,263.68 : x
  2. Step 2: Convert to fraction form
    8,080.16/12,122 = 7,263.68/x
  3. Step 3: Cross multiply
    8,080.16x = 12,122 × 7,263.68
  4. Step 4: Simplify right side
    8,080.16x = 88,050,328.96
  5. Step 5: Solve for x
    x = 88,050,328.96/8,080.16
  6. Step 6: Final answer
    x = 10,897.10

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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.