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Finding the Fourth Proportional to 10,272.80, 15,412.80 and 3,699.20

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Solution

The fourth proportional to 10,272.80, 15,412.80 and 3,699.20 is: 5,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.80 : 15,412.80 = 3,699.20 : x
  2. Step 2: Convert to fraction form
    10,272.80/15,412.80 = 3,699.20/x
  3. Step 3: Cross multiply
    10,272.80x = 15,412.80 × 3,699.20
  4. Step 4: Simplify right side
    10,272.80x = 57,015,029.76
  5. Step 5: Solve for x
    x = 57,015,029.76/10,272.80
  6. Step 6: Final answer
    x = 5,550.10

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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.