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Finding the Fourth Proportional to 10,021.61, 15,033.78 and 4,176.86

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Solution

The fourth proportional to 10,021.61, 15,033.78 and 4,176.86 is: 6,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.61 : 15,033.78 = 4,176.86 : x
  2. Step 2: Convert to fraction form
    10,021.61/15,033.78 = 4,176.86/x
  3. Step 3: Cross multiply
    10,021.61x = 15,033.78 × 4,176.86
  4. Step 4: Simplify right side
    10,021.61x = 62,793,919.16
  5. Step 5: Solve for x
    x = 62,793,919.16/10,021.61
  6. Step 6: Final answer
    x = 6,265.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.