Home / 2,045.42-2,822.47-1,161.30

Finding the Fourth Proportional to 2,045.42, 2,822.47 and 1,161.30

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Solution

The fourth proportional to 2,045.42, 2,822.47 and 1,161.30 is: 1,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.42 : 2,822.47 = 1,161.30 : x
  2. Step 2: Convert to fraction form
    2,045.42/2,822.47 = 1,161.30/x
  3. Step 3: Cross multiply
    2,045.42x = 2,822.47 × 1,161.30
  4. Step 4: Simplify right side
    2,045.42x = 3,277,734.41
  5. Step 5: Solve for x
    x = 3,277,734.41/2,045.42
  6. Step 6: Final answer
    x = 1,602.47

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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.