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Finding the Fourth Proportional to 2,089.57, 3,134.51 and 702.91

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Solution

The fourth proportional to 2,089.57, 3,134.51 and 702.91 is: 1,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.57 : 3,134.51 = 702.91 : x
  2. Step 2: Convert to fraction form
    2,089.57/3,134.51 = 702.91/x
  3. Step 3: Cross multiply
    2,089.57x = 3,134.51 × 702.91
  4. Step 4: Simplify right side
    2,089.57x = 2,203,259.24
  5. Step 5: Solve for x
    x = 2,203,259.24/2,089.57
  6. Step 6: Final answer
    x = 1,054.41

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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.