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Finding the Fourth Proportional to 8,638.41, 12,962.40 and 8,011.01

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Solution

The fourth proportional to 8,638.41, 12,962.40 and 8,011.01 is: 12,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.41 : 12,962.40 = 8,011.01 : x
  2. Step 2: Convert to fraction form
    8,638.41/12,962.40 = 8,011.01/x
  3. Step 3: Cross multiply
    8,638.41x = 12,962.40 × 8,011.01
  4. Step 4: Simplify right side
    8,638.41x = 103,841,918.39
  5. Step 5: Solve for x
    x = 103,841,918.39/8,638.41
  6. Step 6: Final answer
    x = 12,020.95

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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.