Home / 1,924.19-2,886.68-691.70

Finding the Fourth Proportional to 1,924.19, 2,886.68 and 691.70

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Solution

The fourth proportional to 1,924.19, 2,886.68 and 691.70 is: 1,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.19 : 2,886.68 = 691.70 : x
  2. Step 2: Convert to fraction form
    1,924.19/2,886.68 = 691.70/x
  3. Step 3: Cross multiply
    1,924.19x = 2,886.68 × 691.70
  4. Step 4: Simplify right side
    1,924.19x = 1,996,720.31
  5. Step 5: Solve for x
    x = 1,996,720.31/1,924.19
  6. Step 6: Final answer
    x = 1,037.69

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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.