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Finding the Fourth Proportional to 2,174.76, 3,262.14 and 788.28

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Solution

The fourth proportional to 2,174.76, 3,262.14 and 788.28 is: 1,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.76 : 3,262.14 = 788.28 : x
  2. Step 2: Convert to fraction form
    2,174.76/3,262.14 = 788.28/x
  3. Step 3: Cross multiply
    2,174.76x = 3,262.14 × 788.28
  4. Step 4: Simplify right side
    2,174.76x = 2,571,479.72
  5. Step 5: Solve for x
    x = 2,571,479.72/2,174.76
  6. Step 6: Final answer
    x = 1,182.42

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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.