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Finding the Fourth Proportional to 2,139.76, 3,208.88 and 752.80

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Solution

The fourth proportional to 2,139.76, 3,208.88 and 752.80 is: 1,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.76 : 3,208.88 = 752.80 : x
  2. Step 2: Convert to fraction form
    2,139.76/3,208.88 = 752.80/x
  3. Step 3: Cross multiply
    2,139.76x = 3,208.88 × 752.80
  4. Step 4: Simplify right side
    2,139.76x = 2,415,644.86
  5. Step 5: Solve for x
    x = 2,415,644.86/2,139.76
  6. Step 6: Final answer
    x = 1,128.93

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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.