Home / 2,042.29-2,817.65-1,412.58

Finding the Fourth Proportional to 2,042.29, 2,817.65 and 1,412.58

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Solution

The fourth proportional to 2,042.29, 2,817.65 and 1,412.58 is: 1,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.29 : 2,817.65 = 1,412.58 : x
  2. Step 2: Convert to fraction form
    2,042.29/2,817.65 = 1,412.58/x
  3. Step 3: Cross multiply
    2,042.29x = 2,817.65 × 1,412.58
  4. Step 4: Simplify right side
    2,042.29x = 3,980,156.04
  5. Step 5: Solve for x
    x = 3,980,156.04/2,042.29
  6. Step 6: Final answer
    x = 1,948.87

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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.