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Finding the Fourth Proportional to 5,180.16, 7,768.08 and 2,100

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Solution

The fourth proportional to 5,180.16, 7,768.08 and 2,100 is: 3,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.16 : 7,768.08 = 2,100 : x
  2. Step 2: Convert to fraction form
    5,180.16/7,768.08 = 2,100/x
  3. Step 3: Cross multiply
    5,180.16x = 7,768.08 × 2,100
  4. Step 4: Simplify right side
    5,180.16x = 16,312,968
  5. Step 5: Solve for x
    x = 16,312,968/5,180.16
  6. Step 6: Final answer
    x = 3,149.12

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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.