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Finding the Fourth Proportional to 1,852.53, 2,557.08 and 1,293

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Solution

The fourth proportional to 1,852.53, 2,557.08 and 1,293 is: 1,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.53 : 2,557.08 = 1,293 : x
  2. Step 2: Convert to fraction form
    1,852.53/2,557.08 = 1,293/x
  3. Step 3: Cross multiply
    1,852.53x = 2,557.08 × 1,293
  4. Step 4: Simplify right side
    1,852.53x = 3,306,304.44
  5. Step 5: Solve for x
    x = 3,306,304.44/1,852.53
  6. Step 6: Final answer
    x = 1,784.75

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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.