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Finding the Fourth Proportional to 8,542.80, 12,813.64 and 2,703.60

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Solution

The fourth proportional to 8,542.80, 12,813.64 and 2,703.60 is: 4,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.80 : 12,813.64 = 2,703.60 : x
  2. Step 2: Convert to fraction form
    8,542.80/12,813.64 = 2,703.60/x
  3. Step 3: Cross multiply
    8,542.80x = 12,813.64 × 2,703.60
  4. Step 4: Simplify right side
    8,542.80x = 34,642,957.10
  5. Step 5: Solve for x
    x = 34,642,957.10/8,542.80
  6. Step 6: Final answer
    x = 4,055.22

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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.