Home / 1,821.85-2,513.76-1,158.46

Finding the Fourth Proportional to 1,821.85, 2,513.76 and 1,158.46

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Solution

The fourth proportional to 1,821.85, 2,513.76 and 1,158.46 is: 1,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.85 : 2,513.76 = 1,158.46 : x
  2. Step 2: Convert to fraction form
    1,821.85/2,513.76 = 1,158.46/x
  3. Step 3: Cross multiply
    1,821.85x = 2,513.76 × 1,158.46
  4. Step 4: Simplify right side
    1,821.85x = 2,912,084.13
  5. Step 5: Solve for x
    x = 2,912,084.13/1,821.85
  6. Step 6: Final answer
    x = 1,598.42

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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.