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Finding the Fourth Proportional to 8,632.98, 12,947.04 and 2,788.02

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Solution

The fourth proportional to 8,632.98, 12,947.04 and 2,788.02 is: 4,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.98 : 12,947.04 = 2,788.02 : x
  2. Step 2: Convert to fraction form
    8,632.98/12,947.04 = 2,788.02/x
  3. Step 3: Cross multiply
    8,632.98x = 12,947.04 × 2,788.02
  4. Step 4: Simplify right side
    8,632.98x = 36,096,606.46
  5. Step 5: Solve for x
    x = 36,096,606.46/8,632.98
  6. Step 6: Final answer
    x = 4,181.25

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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.