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Finding the Fourth Proportional to 3,407.78, 4,702.79 and 2,010.53

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Solution

The fourth proportional to 3,407.78, 4,702.79 and 2,010.53 is: 2,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.78 : 4,702.79 = 2,010.53 : x
  2. Step 2: Convert to fraction form
    3,407.78/4,702.79 = 2,010.53/x
  3. Step 3: Cross multiply
    3,407.78x = 4,702.79 × 2,010.53
  4. Step 4: Simplify right side
    3,407.78x = 9,455,100.38
  5. Step 5: Solve for x
    x = 9,455,100.38/3,407.78
  6. Step 6: Final answer
    x = 2,774.56

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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.