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Finding the Fourth Proportional to 2,795, 4,188.60 and 2,100.86

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Solution

The fourth proportional to 2,795, 4,188.60 and 2,100.86 is: 3,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795 : 4,188.60 = 2,100.86 : x
  2. Step 2: Convert to fraction form
    2,795/4,188.60 = 2,100.86/x
  3. Step 3: Cross multiply
    2,795x = 4,188.60 × 2,100.86
  4. Step 4: Simplify right side
    2,795x = 8,799,641.25
  5. Step 5: Solve for x
    x = 8,799,641.25/2,795
  6. Step 6: Final answer
    x = 3,148.35

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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.