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Finding the Fourth Proportional to 4,647.78, 6,972.28 and 2,456.58

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Solution

The fourth proportional to 4,647.78, 6,972.28 and 2,456.58 is: 3,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.78 : 6,972.28 = 2,456.58 : x
  2. Step 2: Convert to fraction form
    4,647.78/6,972.28 = 2,456.58/x
  3. Step 3: Cross multiply
    4,647.78x = 6,972.28 × 2,456.58
  4. Step 4: Simplify right side
    4,647.78x = 17,127,963.60
  5. Step 5: Solve for x
    x = 17,127,963.60/4,647.78
  6. Step 6: Final answer
    x = 3,685.19

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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.