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Finding the Fourth Proportional to 2,810.95, 4,211.16 and 2,351.68

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Solution

The fourth proportional to 2,810.95, 4,211.16 and 2,351.68 is: 3,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.95 : 4,211.16 = 2,351.68 : x
  2. Step 2: Convert to fraction form
    2,810.95/4,211.16 = 2,351.68/x
  3. Step 3: Cross multiply
    2,810.95x = 4,211.16 × 2,351.68
  4. Step 4: Simplify right side
    2,810.95x = 9,903,300.75
  5. Step 5: Solve for x
    x = 9,903,300.75/2,810.95
  6. Step 6: Final answer
    x = 3,523.12

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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.