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Finding the Fourth Proportional to 2,652.76, 3,657.54 and 2,179

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Solution

The fourth proportional to 2,652.76, 3,657.54 and 2,179 is: 3,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.76 : 3,657.54 = 2,179 : x
  2. Step 2: Convert to fraction form
    2,652.76/3,657.54 = 2,179/x
  3. Step 3: Cross multiply
    2,652.76x = 3,657.54 × 2,179
  4. Step 4: Simplify right side
    2,652.76x = 7,969,779.66
  5. Step 5: Solve for x
    x = 7,969,779.66/2,652.76
  6. Step 6: Final answer
    x = 3,004.33

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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.