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Finding the Fourth Proportional to 2,846.86, 3,928.87 and 1,588

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Solution

The fourth proportional to 2,846.86, 3,928.87 and 1,588 is: 2,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.86 : 3,928.87 = 1,588 : x
  2. Step 2: Convert to fraction form
    2,846.86/3,928.87 = 1,588/x
  3. Step 3: Cross multiply
    2,846.86x = 3,928.87 × 1,588
  4. Step 4: Simplify right side
    2,846.86x = 6,239,037.62
  5. Step 5: Solve for x
    x = 6,239,037.62/2,846.86
  6. Step 6: Final answer
    x = 2,191.55

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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.