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Finding the Fourth Proportional to 1,652.22, 2,478.30 and 1,393.88

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Solution

The fourth proportional to 1,652.22, 2,478.30 and 1,393.88 is: 2,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.22 : 2,478.30 = 1,393.88 : x
  2. Step 2: Convert to fraction form
    1,652.22/2,478.30 = 1,393.88/x
  3. Step 3: Cross multiply
    1,652.22x = 2,478.30 × 1,393.88
  4. Step 4: Simplify right side
    1,652.22x = 3,454,440.41
  5. Step 5: Solve for x
    x = 3,454,440.41/1,652.22
  6. Step 6: Final answer
    x = 2,090.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.