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Finding the Fourth Proportional to 2,266.16, 3,398.84 and 785.39

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Solution

The fourth proportional to 2,266.16, 3,398.84 and 785.39 is: 1,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.16 : 3,398.84 = 785.39 : x
  2. Step 2: Convert to fraction form
    2,266.16/3,398.84 = 785.39/x
  3. Step 3: Cross multiply
    2,266.16x = 3,398.84 × 785.39
  4. Step 4: Simplify right side
    2,266.16x = 2,669,411.02
  5. Step 5: Solve for x
    x = 2,669,411.02/2,266.16
  6. Step 6: Final answer
    x = 1,177.94

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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.