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Finding the Fourth Proportional to 2,599, 3,586.05 and 1,654.45

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Solution

The fourth proportional to 2,599, 3,586.05 and 1,654.45 is: 2,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599 : 3,586.05 = 1,654.45 : x
  2. Step 2: Convert to fraction form
    2,599/3,586.05 = 1,654.45/x
  3. Step 3: Cross multiply
    2,599x = 3,586.05 × 1,654.45
  4. Step 4: Simplify right side
    2,599x = 5,932,940.42
  5. Step 5: Solve for x
    x = 5,932,940.42/2,599
  6. Step 6: Final answer
    x = 2,282.78

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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.