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Finding the Fourth Proportional to 3,089.31, 4,264.61 and 1,971.71

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Solution

The fourth proportional to 3,089.31, 4,264.61 and 1,971.71 is: 2,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.31 : 4,264.61 = 1,971.71 : x
  2. Step 2: Convert to fraction form
    3,089.31/4,264.61 = 1,971.71/x
  3. Step 3: Cross multiply
    3,089.31x = 4,264.61 × 1,971.71
  4. Step 4: Simplify right side
    3,089.31x = 8,408,543.00
  5. Step 5: Solve for x
    x = 8,408,543.00/3,089.31
  6. Step 6: Final answer
    x = 2,721.82

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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.