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Finding the Fourth Proportional to 8,962, 13,443.06 and 2,806

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Solution

The fourth proportional to 8,962, 13,443.06 and 2,806 is: 4,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962 : 13,443.06 = 2,806 : x
  2. Step 2: Convert to fraction form
    8,962/13,443.06 = 2,806/x
  3. Step 3: Cross multiply
    8,962x = 13,443.06 × 2,806
  4. Step 4: Simplify right side
    8,962x = 37,721,226.36
  5. Step 5: Solve for x
    x = 37,721,226.36/8,962
  6. Step 6: Final answer
    x = 4,209.02

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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.