Home / 1,822.90-2,516.44-1,160.66

Finding the Fourth Proportional to 1,822.90, 2,516.44 and 1,160.66

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Solution

The fourth proportional to 1,822.90, 2,516.44 and 1,160.66 is: 1,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.90 : 2,516.44 = 1,160.66 : x
  2. Step 2: Convert to fraction form
    1,822.90/2,516.44 = 1,160.66/x
  3. Step 3: Cross multiply
    1,822.90x = 2,516.44 × 1,160.66
  4. Step 4: Simplify right side
    1,822.90x = 2,920,731.25
  5. Step 5: Solve for x
    x = 2,920,731.25/1,822.90
  6. Step 6: Final answer
    x = 1,602.24

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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.