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Finding the Fourth Proportional to 8,569.60, 12,855.40 and 2,726.80

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Solution

The fourth proportional to 8,569.60, 12,855.40 and 2,726.80 is: 4,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.60 : 12,855.40 = 2,726.80 : x
  2. Step 2: Convert to fraction form
    8,569.60/12,855.40 = 2,726.80/x
  3. Step 3: Cross multiply
    8,569.60x = 12,855.40 × 2,726.80
  4. Step 4: Simplify right side
    8,569.60x = 35,054,104.72
  5. Step 5: Solve for x
    x = 35,054,104.72/8,569.60
  6. Step 6: Final answer
    x = 4,090.52

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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.