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Finding the Fourth Proportional to 1,957.78, 2,933.52 and 1,439.02

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Solution

The fourth proportional to 1,957.78, 2,933.52 and 1,439.02 is: 2,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.78 : 2,933.52 = 1,439.02 : x
  2. Step 2: Convert to fraction form
    1,957.78/2,933.52 = 1,439.02/x
  3. Step 3: Cross multiply
    1,957.78x = 2,933.52 × 1,439.02
  4. Step 4: Simplify right side
    1,957.78x = 4,221,393.95
  5. Step 5: Solve for x
    x = 4,221,393.95/1,957.78
  6. Step 6: Final answer
    x = 2,156.21

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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.