Home / 1,824.23-2,515.69-1,159.90

Finding the Fourth Proportional to 1,824.23, 2,515.69 and 1,159.90

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Solution

The fourth proportional to 1,824.23, 2,515.69 and 1,159.90 is: 1,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.23 : 2,515.69 = 1,159.90 : x
  2. Step 2: Convert to fraction form
    1,824.23/2,515.69 = 1,159.90/x
  3. Step 3: Cross multiply
    1,824.23x = 2,515.69 × 1,159.90
  4. Step 4: Simplify right side
    1,824.23x = 2,917,948.83
  5. Step 5: Solve for x
    x = 2,917,948.83/1,824.23
  6. Step 6: Final answer
    x = 1,599.55

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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.