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Finding the Fourth Proportional to 2,045.52, 3,069.50 and 747.08

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Solution

The fourth proportional to 2,045.52, 3,069.50 and 747.08 is: 1,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.52 : 3,069.50 = 747.08 : x
  2. Step 2: Convert to fraction form
    2,045.52/3,069.50 = 747.08/x
  3. Step 3: Cross multiply
    2,045.52x = 3,069.50 × 747.08
  4. Step 4: Simplify right side
    2,045.52x = 2,293,162.06
  5. Step 5: Solve for x
    x = 2,293,162.06/2,045.52
  6. Step 6: Final answer
    x = 1,121.07

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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.