Home / 1,862.82-2,570.86-1,023.68

Finding the Fourth Proportional to 1,862.82, 2,570.86 and 1,023.68

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Solution

The fourth proportional to 1,862.82, 2,570.86 and 1,023.68 is: 1,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.82 : 2,570.86 = 1,023.68 : x
  2. Step 2: Convert to fraction form
    1,862.82/2,570.86 = 1,023.68/x
  3. Step 3: Cross multiply
    1,862.82x = 2,570.86 × 1,023.68
  4. Step 4: Simplify right side
    1,862.82x = 2,631,730.47
  5. Step 5: Solve for x
    x = 2,631,730.47/1,862.82
  6. Step 6: Final answer
    x = 1,412.76

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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.