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Finding the Fourth Proportional to 1,911.72, 2,867.58 and 1,569

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Solution

The fourth proportional to 1,911.72, 2,867.58 and 1,569 is: 2,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.72 : 2,867.58 = 1,569 : x
  2. Step 2: Convert to fraction form
    1,911.72/2,867.58 = 1,569/x
  3. Step 3: Cross multiply
    1,911.72x = 2,867.58 × 1,569
  4. Step 4: Simplify right side
    1,911.72x = 4,499,233.02
  5. Step 5: Solve for x
    x = 4,499,233.02/1,911.72
  6. Step 6: Final answer
    x = 2,353.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.