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Finding the Fourth Proportional to 8,971.70, 13,455.68 and 3,423.80

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Solution

The fourth proportional to 8,971.70, 13,455.68 and 3,423.80 is: 5,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.70 : 13,455.68 = 3,423.80 : x
  2. Step 2: Convert to fraction form
    8,971.70/13,455.68 = 3,423.80/x
  3. Step 3: Cross multiply
    8,971.70x = 13,455.68 × 3,423.80
  4. Step 4: Simplify right side
    8,971.70x = 46,069,557.18
  5. Step 5: Solve for x
    x = 46,069,557.18/8,971.70
  6. Step 6: Final answer
    x = 5,134.99

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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.