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Finding the Fourth Proportional to 2,548.78, 3,518 and 2,393.89

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Solution

The fourth proportional to 2,548.78, 3,518 and 2,393.89 is: 3,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.78 : 3,518 = 2,393.89 : x
  2. Step 2: Convert to fraction form
    2,548.78/3,518 = 2,393.89/x
  3. Step 3: Cross multiply
    2,548.78x = 3,518 × 2,393.89
  4. Step 4: Simplify right side
    2,548.78x = 8,421,705.02
  5. Step 5: Solve for x
    x = 8,421,705.02/2,548.78
  6. Step 6: Final answer
    x = 3,304.21

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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.