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Finding the Fourth Proportional to 1,946.34, 2,917.85 and 849.88

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Solution

The fourth proportional to 1,946.34, 2,917.85 and 849.88 is: 1,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.34 : 2,917.85 = 849.88 : x
  2. Step 2: Convert to fraction form
    1,946.34/2,917.85 = 849.88/x
  3. Step 3: Cross multiply
    1,946.34x = 2,917.85 × 849.88
  4. Step 4: Simplify right side
    1,946.34x = 2,479,818.11
  5. Step 5: Solve for x
    x = 2,479,818.11/1,946.34
  6. Step 6: Final answer
    x = 1,274.10

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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.