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Finding the Fourth Proportional to 2,159.68, 3,240.24 and 860.80

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Solution

The fourth proportional to 2,159.68, 3,240.24 and 860.80 is: 1,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.68 : 3,240.24 = 860.80 : x
  2. Step 2: Convert to fraction form
    2,159.68/3,240.24 = 860.80/x
  3. Step 3: Cross multiply
    2,159.68x = 3,240.24 × 860.80
  4. Step 4: Simplify right side
    2,159.68x = 2,789,198.59
  5. Step 5: Solve for x
    x = 2,789,198.59/2,159.68
  6. Step 6: Final answer
    x = 1,291.49

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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.