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Finding the Fourth Proportional to 3,655.76, 5,044.94 and 1,977.16

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Solution

The fourth proportional to 3,655.76, 5,044.94 and 1,977.16 is: 2,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.76 : 5,044.94 = 1,977.16 : x
  2. Step 2: Convert to fraction form
    3,655.76/5,044.94 = 1,977.16/x
  3. Step 3: Cross multiply
    3,655.76x = 5,044.94 × 1,977.16
  4. Step 4: Simplify right side
    3,655.76x = 9,974,669.55
  5. Step 5: Solve for x
    x = 9,974,669.55/3,655.76
  6. Step 6: Final answer
    x = 2,728.48

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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.