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Finding the Fourth Proportional to 8,633.46, 12,947.34 and 2,788.70

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Solution

The fourth proportional to 8,633.46, 12,947.34 and 2,788.70 is: 4,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.46 : 12,947.34 = 2,788.70 : x
  2. Step 2: Convert to fraction form
    8,633.46/12,947.34 = 2,788.70/x
  3. Step 3: Cross multiply
    8,633.46x = 12,947.34 × 2,788.70
  4. Step 4: Simplify right side
    8,633.46x = 36,106,302.02
  5. Step 5: Solve for x
    x = 36,106,302.02/8,633.46
  6. Step 6: Final answer
    x = 4,182.14

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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.