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Finding the Fourth Proportional to 2,162.87, 2,985.14 and 1,278.71

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Solution

The fourth proportional to 2,162.87, 2,985.14 and 1,278.71 is: 1,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.87 : 2,985.14 = 1,278.71 : x
  2. Step 2: Convert to fraction form
    2,162.87/2,985.14 = 1,278.71/x
  3. Step 3: Cross multiply
    2,162.87x = 2,985.14 × 1,278.71
  4. Step 4: Simplify right side
    2,162.87x = 3,817,128.37
  5. Step 5: Solve for x
    x = 3,817,128.37/2,162.87
  6. Step 6: Final answer
    x = 1,764.84

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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.