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Finding the Fourth Proportional to 2,539.54, 3,504 and 1,607.50

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Solution

The fourth proportional to 2,539.54, 3,504 and 1,607.50 is: 2,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.54 : 3,504 = 1,607.50 : x
  2. Step 2: Convert to fraction form
    2,539.54/3,504 = 1,607.50/x
  3. Step 3: Cross multiply
    2,539.54x = 3,504 × 1,607.50
  4. Step 4: Simplify right side
    2,539.54x = 5,632,680
  5. Step 5: Solve for x
    x = 5,632,680/2,539.54
  6. Step 6: Final answer
    x = 2,217.99

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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.