Home / 1,822.78-2,515.06-1,159.40

Finding the Fourth Proportional to 1,822.78, 2,515.06 and 1,159.40

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Solution

The fourth proportional to 1,822.78, 2,515.06 and 1,159.40 is: 1,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.78 : 2,515.06 = 1,159.40 : x
  2. Step 2: Convert to fraction form
    1,822.78/2,515.06 = 1,159.40/x
  3. Step 3: Cross multiply
    1,822.78x = 2,515.06 × 1,159.40
  4. Step 4: Simplify right side
    1,822.78x = 2,915,960.56
  5. Step 5: Solve for x
    x = 2,915,960.56/1,822.78
  6. Step 6: Final answer
    x = 1,599.73

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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.