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Finding the Fourth Proportional to 1,663.62, 2,493.98 and 934.26

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Solution

The fourth proportional to 1,663.62, 2,493.98 and 934.26 is: 1,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.62 : 2,493.98 = 934.26 : x
  2. Step 2: Convert to fraction form
    1,663.62/2,493.98 = 934.26/x
  3. Step 3: Cross multiply
    1,663.62x = 2,493.98 × 934.26
  4. Step 4: Simplify right side
    1,663.62x = 2,330,025.75
  5. Step 5: Solve for x
    x = 2,330,025.75/1,663.62
  6. Step 6: Final answer
    x = 1,400.58

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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.