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Finding the Fourth Proportional to 2,478.23, 3,739.84 and 2,395.61

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Solution

The fourth proportional to 2,478.23, 3,739.84 and 2,395.61 is: 3,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.23 : 3,739.84 = 2,395.61 : x
  2. Step 2: Convert to fraction form
    2,478.23/3,739.84 = 2,395.61/x
  3. Step 3: Cross multiply
    2,478.23x = 3,739.84 × 2,395.61
  4. Step 4: Simplify right side
    2,478.23x = 8,959,186.12
  5. Step 5: Solve for x
    x = 8,959,186.12/2,478.23
  6. Step 6: Final answer
    x = 3,615.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.