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Finding the Fourth Proportional to 1,957.72, 2,948.80 and 1,822.48

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Solution

The fourth proportional to 1,957.72, 2,948.80 and 1,822.48 is: 2,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.72 : 2,948.80 = 1,822.48 : x
  2. Step 2: Convert to fraction form
    1,957.72/2,948.80 = 1,822.48/x
  3. Step 3: Cross multiply
    1,957.72x = 2,948.80 × 1,822.48
  4. Step 4: Simplify right side
    1,957.72x = 5,374,129.02
  5. Step 5: Solve for x
    x = 5,374,129.02/1,957.72
  6. Step 6: Final answer
    x = 2,745.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.