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Finding the Fourth Proportional to 1,693.52, 2,539.83 and 1,419.74

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Solution

The fourth proportional to 1,693.52, 2,539.83 and 1,419.74 is: 2,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.52 : 2,539.83 = 1,419.74 : x
  2. Step 2: Convert to fraction form
    1,693.52/2,539.83 = 1,419.74/x
  3. Step 3: Cross multiply
    1,693.52x = 2,539.83 × 1,419.74
  4. Step 4: Simplify right side
    1,693.52x = 3,605,898.24
  5. Step 5: Solve for x
    x = 3,605,898.24/1,693.52
  6. Step 6: Final answer
    x = 2,129.23

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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.