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Finding the Fourth Proportional to 6,782, 10,176.04 and 3,085.20

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Solution

The fourth proportional to 6,782, 10,176.04 and 3,085.20 is: 4,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782 : 10,176.04 = 3,085.20 : x
  2. Step 2: Convert to fraction form
    6,782/10,176.04 = 3,085.20/x
  3. Step 3: Cross multiply
    6,782x = 10,176.04 × 3,085.20
  4. Step 4: Simplify right side
    6,782x = 31,395,118.61
  5. Step 5: Solve for x
    x = 31,395,118.61/6,782
  6. Step 6: Final answer
    x = 4,629.18

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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.