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Finding the Fourth Proportional to 1,965.86, 2,948.19 and 1,657.82

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Solution

The fourth proportional to 1,965.86, 2,948.19 and 1,657.82 is: 2,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.86 : 2,948.19 = 1,657.82 : x
  2. Step 2: Convert to fraction form
    1,965.86/2,948.19 = 1,657.82/x
  3. Step 3: Cross multiply
    1,965.86x = 2,948.19 × 1,657.82
  4. Step 4: Simplify right side
    1,965.86x = 4,887,568.35
  5. Step 5: Solve for x
    x = 4,887,568.35/1,965.86
  6. Step 6: Final answer
    x = 2,486.22

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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.