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Finding the Fourth Proportional to 2,172.52, 3,259.26 and 711.76

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Solution

The fourth proportional to 2,172.52, 3,259.26 and 711.76 is: 1,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.52 : 3,259.26 = 711.76 : x
  2. Step 2: Convert to fraction form
    2,172.52/3,259.26 = 711.76/x
  3. Step 3: Cross multiply
    2,172.52x = 3,259.26 × 711.76
  4. Step 4: Simplify right side
    2,172.52x = 2,319,810.90
  5. Step 5: Solve for x
    x = 2,319,810.90/2,172.52
  6. Step 6: Final answer
    x = 1,067.80

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1.5x scale

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.