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Finding the Fourth Proportional to 2,951.80, 4,430.43 and 1,491.97

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Solution

The fourth proportional to 2,951.80, 4,430.43 and 1,491.97 is: 2,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.80 : 4,430.43 = 1,491.97 : x
  2. Step 2: Convert to fraction form
    2,951.80/4,430.43 = 1,491.97/x
  3. Step 3: Cross multiply
    2,951.80x = 4,430.43 × 1,491.97
  4. Step 4: Simplify right side
    2,951.80x = 6,610,068.65
  5. Step 5: Solve for x
    x = 6,610,068.65/2,951.80
  6. Step 6: Final answer
    x = 2,239.33

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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.