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Finding the Fourth Proportional to 2,754, 3,800.61 and 1,575

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Solution

The fourth proportional to 2,754, 3,800.61 and 1,575 is: 2,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754 : 3,800.61 = 1,575 : x
  2. Step 2: Convert to fraction form
    2,754/3,800.61 = 1,575/x
  3. Step 3: Cross multiply
    2,754x = 3,800.61 × 1,575
  4. Step 4: Simplify right side
    2,754x = 5,985,960.75
  5. Step 5: Solve for x
    x = 5,985,960.75/2,754
  6. Step 6: Final answer
    x = 2,173.55

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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.