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Finding the Fourth Proportional to 2,079.12, 3,117.72 and 780.60

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Solution

The fourth proportional to 2,079.12, 3,117.72 and 780.60 is: 1,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.12 : 3,117.72 = 780.60 : x
  2. Step 2: Convert to fraction form
    2,079.12/3,117.72 = 780.60/x
  3. Step 3: Cross multiply
    2,079.12x = 3,117.72 × 780.60
  4. Step 4: Simplify right side
    2,079.12x = 2,433,692.23
  5. Step 5: Solve for x
    x = 2,433,692.23/2,079.12
  6. Step 6: Final answer
    x = 1,170.54

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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.