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Finding the Fourth Proportional to 2,647.73, 3,971.28 and 1,537.76

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Solution

The fourth proportional to 2,647.73, 3,971.28 and 1,537.76 is: 2,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.73 : 3,971.28 = 1,537.76 : x
  2. Step 2: Convert to fraction form
    2,647.73/3,971.28 = 1,537.76/x
  3. Step 3: Cross multiply
    2,647.73x = 3,971.28 × 1,537.76
  4. Step 4: Simplify right side
    2,647.73x = 6,106,875.53
  5. Step 5: Solve for x
    x = 6,106,875.53/2,647.73
  6. Step 6: Final answer
    x = 2,306.46

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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.