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Finding the Fourth Proportional to 3,071.72, 4,608.30 and 880.48

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Solution

The fourth proportional to 3,071.72, 4,608.30 and 880.48 is: 1,320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.72 : 4,608.30 = 880.48 : x
  2. Step 2: Convert to fraction form
    3,071.72/4,608.30 = 880.48/x
  3. Step 3: Cross multiply
    3,071.72x = 4,608.30 × 880.48
  4. Step 4: Simplify right side
    3,071.72x = 4,057,515.98
  5. Step 5: Solve for x
    x = 4,057,515.98/3,071.72
  6. Step 6: Final answer
    x = 1,320.93

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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.