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Finding the Fourth Proportional to 1,875.97, 2,813.96 and 779.74

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Solution

The fourth proportional to 1,875.97, 2,813.96 and 779.74 is: 1,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.97 : 2,813.96 = 779.74 : x
  2. Step 2: Convert to fraction form
    1,875.97/2,813.96 = 779.74/x
  3. Step 3: Cross multiply
    1,875.97x = 2,813.96 × 779.74
  4. Step 4: Simplify right side
    1,875.97x = 2,194,139.20
  5. Step 5: Solve for x
    x = 2,194,139.20/1,875.97
  6. Step 6: Final answer
    x = 1,169.61

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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.