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Finding the Fourth Proportional to 1,912.17, 2,869.48 and 816.55

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Solution

The fourth proportional to 1,912.17, 2,869.48 and 816.55 is: 1,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.17 : 2,869.48 = 816.55 : x
  2. Step 2: Convert to fraction form
    1,912.17/2,869.48 = 816.55/x
  3. Step 3: Cross multiply
    1,912.17x = 2,869.48 × 816.55
  4. Step 4: Simplify right side
    1,912.17x = 2,343,055.46
  5. Step 5: Solve for x
    x = 2,343,055.46/1,912.17
  6. Step 6: Final answer
    x = 1,225.34

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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.