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Finding the Fourth Proportional to 2,393.96, 3,592.18 and 989.42

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Solution

The fourth proportional to 2,393.96, 3,592.18 and 989.42 is: 1,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.96 : 3,592.18 = 989.42 : x
  2. Step 2: Convert to fraction form
    2,393.96/3,592.18 = 989.42/x
  3. Step 3: Cross multiply
    2,393.96x = 3,592.18 × 989.42
  4. Step 4: Simplify right side
    2,393.96x = 3,554,174.74
  5. Step 5: Solve for x
    x = 3,554,174.74/2,393.96
  6. Step 6: Final answer
    x = 1,484.64

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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.