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Finding the Fourth Proportional to 2,846.90, 3,928.79 and 1,587.98

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Solution

The fourth proportional to 2,846.90, 3,928.79 and 1,587.98 is: 2,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.90 : 3,928.79 = 1,587.98 : x
  2. Step 2: Convert to fraction form
    2,846.90/3,928.79 = 1,587.98/x
  3. Step 3: Cross multiply
    2,846.90x = 3,928.79 × 1,587.98
  4. Step 4: Simplify right side
    2,846.90x = 6,238,839.94
  5. Step 5: Solve for x
    x = 6,238,839.94/2,846.90
  6. Step 6: Final answer
    x = 2,191.45

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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.