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Finding the Fourth Proportional to 8,097.76, 12,129.05 and 3,929.01

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Solution

The fourth proportional to 8,097.76, 12,129.05 and 3,929.01 is: 5,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.76 : 12,129.05 = 3,929.01 : x
  2. Step 2: Convert to fraction form
    8,097.76/12,129.05 = 3,929.01/x
  3. Step 3: Cross multiply
    8,097.76x = 12,129.05 × 3,929.01
  4. Step 4: Simplify right side
    8,097.76x = 47,655,158.74
  5. Step 5: Solve for x
    x = 47,655,158.74/8,097.76
  6. Step 6: Final answer
    x = 5,884.98

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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.