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Finding the Fourth Proportional to 8,971.69, 13,455.69 and 3,423.79

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Solution

The fourth proportional to 8,971.69, 13,455.69 and 3,423.79 is: 5,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.69 : 13,455.69 = 3,423.79 : x
  2. Step 2: Convert to fraction form
    8,971.69/13,455.69 = 3,423.79/x
  3. Step 3: Cross multiply
    8,971.69x = 13,455.69 × 3,423.79
  4. Step 4: Simplify right side
    8,971.69x = 46,069,456.87
  5. Step 5: Solve for x
    x = 46,069,456.87/8,971.69
  6. Step 6: Final answer
    x = 5,134.98

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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.