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Finding the Fourth Proportional to 2,177.55, 3,005.10 and 1,293.48

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Solution

The fourth proportional to 2,177.55, 3,005.10 and 1,293.48 is: 1,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.55 : 3,005.10 = 1,293.48 : x
  2. Step 2: Convert to fraction form
    2,177.55/3,005.10 = 1,293.48/x
  3. Step 3: Cross multiply
    2,177.55x = 3,005.10 × 1,293.48
  4. Step 4: Simplify right side
    2,177.55x = 3,887,036.75
  5. Step 5: Solve for x
    x = 3,887,036.75/2,177.55
  6. Step 6: Final answer
    x = 1,785.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.