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Finding the Fourth Proportional to 2,254.86, 3,111.64 and 1,260.25

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Solution

The fourth proportional to 2,254.86, 3,111.64 and 1,260.25 is: 1,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.86 : 3,111.64 = 1,260.25 : x
  2. Step 2: Convert to fraction form
    2,254.86/3,111.64 = 1,260.25/x
  3. Step 3: Cross multiply
    2,254.86x = 3,111.64 × 1,260.25
  4. Step 4: Simplify right side
    2,254.86x = 3,921,444.31
  5. Step 5: Solve for x
    x = 3,921,444.31/2,254.86
  6. Step 6: Final answer
    x = 1,739.11

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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.