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Finding the Fourth Proportional to 3,393.71, 5,090.33 and 1,053.66

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Solution

The fourth proportional to 3,393.71, 5,090.33 and 1,053.66 is: 1,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.71 : 5,090.33 = 1,053.66 : x
  2. Step 2: Convert to fraction form
    3,393.71/5,090.33 = 1,053.66/x
  3. Step 3: Cross multiply
    3,393.71x = 5,090.33 × 1,053.66
  4. Step 4: Simplify right side
    3,393.71x = 5,363,474.47
  5. Step 5: Solve for x
    x = 5,363,474.47/3,393.71
  6. Step 6: Final answer
    x = 1,580.42

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Why These Related Problems?

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