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Finding the Fourth Proportional to 8,772.94, 13,158.78 and 2,849.68

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Solution

The fourth proportional to 8,772.94, 13,158.78 and 2,849.68 is: 4,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772.94 : 13,158.78 = 2,849.68 : x
  2. Step 2: Convert to fraction form
    8,772.94/13,158.78 = 2,849.68/x
  3. Step 3: Cross multiply
    8,772.94x = 13,158.78 × 2,849.68
  4. Step 4: Simplify right side
    8,772.94x = 37,498,312.19
  5. Step 5: Solve for x
    x = 37,498,312.19/8,772.94
  6. Step 6: Final answer
    x = 4,274.32

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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.