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Finding the Fourth Proportional to 1,953.86, 2,697.10 and 1,167.75

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Solution

The fourth proportional to 1,953.86, 2,697.10 and 1,167.75 is: 1,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.86 : 2,697.10 = 1,167.75 : x
  2. Step 2: Convert to fraction form
    1,953.86/2,697.10 = 1,167.75/x
  3. Step 3: Cross multiply
    1,953.86x = 2,697.10 × 1,167.75
  4. Step 4: Simplify right side
    1,953.86x = 3,149,535.61
  5. Step 5: Solve for x
    x = 3,149,535.61/1,953.86
  6. Step 6: Final answer
    x = 1,611.96

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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.