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Finding the Fourth Proportional to 1,685.58, 2,523.14 and 1,542.04

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Solution

The fourth proportional to 1,685.58, 2,523.14 and 1,542.04 is: 2,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.58 : 2,523.14 = 1,542.04 : x
  2. Step 2: Convert to fraction form
    1,685.58/2,523.14 = 1,542.04/x
  3. Step 3: Cross multiply
    1,685.58x = 2,523.14 × 1,542.04
  4. Step 4: Simplify right side
    1,685.58x = 3,890,782.81
  5. Step 5: Solve for x
    x = 3,890,782.81/1,685.58
  6. Step 6: Final answer
    x = 2,308.28

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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.