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Finding the Fourth Proportional to 2,812.70, 3,881.67 and 1,693.99

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Solution

The fourth proportional to 2,812.70, 3,881.67 and 1,693.99 is: 2,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.70 : 3,881.67 = 1,693.99 : x
  2. Step 2: Convert to fraction form
    2,812.70/3,881.67 = 1,693.99/x
  3. Step 3: Cross multiply
    2,812.70x = 3,881.67 × 1,693.99
  4. Step 4: Simplify right side
    2,812.70x = 6,575,510.16
  5. Step 5: Solve for x
    x = 6,575,510.16/2,812.70
  6. Step 6: Final answer
    x = 2,337.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.