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Finding the Fourth Proportional to 8,652.96, 12,981.80 and 2,809.57

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Solution

The fourth proportional to 8,652.96, 12,981.80 and 2,809.57 is: 4,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.96 : 12,981.80 = 2,809.57 : x
  2. Step 2: Convert to fraction form
    8,652.96/12,981.80 = 2,809.57/x
  3. Step 3: Cross multiply
    8,652.96x = 12,981.80 × 2,809.57
  4. Step 4: Simplify right side
    8,652.96x = 36,473,275.83
  5. Step 5: Solve for x
    x = 36,473,275.83/8,652.96
  6. Step 6: Final answer
    x = 4,215.12

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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.