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Finding the Fourth Proportional to 2,045.52, 3,071.52 and 1,072.80

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Solution

The fourth proportional to 2,045.52, 3,071.52 and 1,072.80 is: 1,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.52 : 3,071.52 = 1,072.80 : x
  2. Step 2: Convert to fraction form
    2,045.52/3,071.52 = 1,072.80/x
  3. Step 3: Cross multiply
    2,045.52x = 3,071.52 × 1,072.80
  4. Step 4: Simplify right side
    2,045.52x = 3,295,126.66
  5. Step 5: Solve for x
    x = 3,295,126.66/2,045.52
  6. Step 6: Final answer
    x = 1,610.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.