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Finding the Fourth Proportional to 8,972.35, 13,461.35 and 4,228.31

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Solution

The fourth proportional to 8,972.35, 13,461.35 and 4,228.31 is: 6,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.35 : 13,461.35 = 4,228.31 : x
  2. Step 2: Convert to fraction form
    8,972.35/13,461.35 = 4,228.31/x
  3. Step 3: Cross multiply
    8,972.35x = 13,461.35 × 4,228.31
  4. Step 4: Simplify right side
    8,972.35x = 56,918,806.01
  5. Step 5: Solve for x
    x = 56,918,806.01/8,972.35
  6. Step 6: Final answer
    x = 6,343.80

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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.