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Finding the Fourth Proportional to 2,415.72, 3,333.96 and 1,471.80

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Solution

The fourth proportional to 2,415.72, 3,333.96 and 1,471.80 is: 2,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.72 : 3,333.96 = 1,471.80 : x
  2. Step 2: Convert to fraction form
    2,415.72/3,333.96 = 1,471.80/x
  3. Step 3: Cross multiply
    2,415.72x = 3,333.96 × 1,471.80
  4. Step 4: Simplify right side
    2,415.72x = 4,906,922.33
  5. Step 5: Solve for x
    x = 4,906,922.33/2,415.72
  6. Step 6: Final answer
    x = 2,031.25

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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.