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Finding the Fourth Proportional to 3,393.72, 5,090.54 and 928.53

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Solution

The fourth proportional to 3,393.72, 5,090.54 and 928.53 is: 1,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.72 : 5,090.54 = 928.53 : x
  2. Step 2: Convert to fraction form
    3,393.72/5,090.54 = 928.53/x
  3. Step 3: Cross multiply
    3,393.72x = 5,090.54 × 928.53
  4. Step 4: Simplify right side
    3,393.72x = 4,726,714.46
  5. Step 5: Solve for x
    x = 4,726,714.46/3,393.72
  6. Step 6: Final answer
    x = 1,392.78

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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.