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Finding the Fourth Proportional to 8,023, 12,040.98 and 4,128.52

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Solution

The fourth proportional to 8,023, 12,040.98 and 4,128.52 is: 6,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023 : 12,040.98 = 4,128.52 : x
  2. Step 2: Convert to fraction form
    8,023/12,040.98 = 4,128.52/x
  3. Step 3: Cross multiply
    8,023x = 12,040.98 × 4,128.52
  4. Step 4: Simplify right side
    8,023x = 49,711,426.75
  5. Step 5: Solve for x
    x = 49,711,426.75/8,023
  6. Step 6: Final answer
    x = 6,196.11

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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.