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Finding the Fourth Proportional to 2,392.39, 3,588.18 and 661.02

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Solution

The fourth proportional to 2,392.39, 3,588.18 and 661.02 is: 991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.39 : 3,588.18 = 661.02 : x
  2. Step 2: Convert to fraction form
    2,392.39/3,588.18 = 661.02/x
  3. Step 3: Cross multiply
    2,392.39x = 3,588.18 × 661.02
  4. Step 4: Simplify right side
    2,392.39x = 2,371,858.74
  5. Step 5: Solve for x
    x = 2,371,858.74/2,392.39
  6. Step 6: Final answer
    x = 991.42

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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.