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Finding the Fourth Proportional to 31,359, 43,275.36 and 17,211.54

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Solution

The fourth proportional to 31,359, 43,275.36 and 17,211.54 is: 23,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,359 : 43,275.36 = 17,211.54 : x
  2. Step 2: Convert to fraction form
    31,359/43,275.36 = 17,211.54/x
  3. Step 3: Cross multiply
    31,359x = 43,275.36 × 17,211.54
  4. Step 4: Simplify right side
    31,359x = 744,835,589.65
  5. Step 5: Solve for x
    x = 744,835,589.65/31,359
  6. Step 6: Final answer
    x = 23,751.89

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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.