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Finding the Fourth Proportional to 8,809.68, 13,216.69 and 2,569.76

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Solution

The fourth proportional to 8,809.68, 13,216.69 and 2,569.76 is: 3,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.68 : 13,216.69 = 2,569.76 : x
  2. Step 2: Convert to fraction form
    8,809.68/13,216.69 = 2,569.76/x
  3. Step 3: Cross multiply
    8,809.68x = 13,216.69 × 2,569.76
  4. Step 4: Simplify right side
    8,809.68x = 33,963,655.21
  5. Step 5: Solve for x
    x = 33,963,655.21/8,809.68
  6. Step 6: Final answer
    x = 3,855.27

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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.