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Finding the Fourth Proportional to 2,685.12, 3,708 and 2,539.68

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Solution

The fourth proportional to 2,685.12, 3,708 and 2,539.68 is: 3,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.12 : 3,708 = 2,539.68 : x
  2. Step 2: Convert to fraction form
    2,685.12/3,708 = 2,539.68/x
  3. Step 3: Cross multiply
    2,685.12x = 3,708 × 2,539.68
  4. Step 4: Simplify right side
    2,685.12x = 9,417,133.44
  5. Step 5: Solve for x
    x = 9,417,133.44/2,685.12
  6. Step 6: Final answer
    x = 3,507.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.