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Finding the Fourth Proportional to 2,392.86, 3,589.49 and 661.49

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Solution

The fourth proportional to 2,392.86, 3,589.49 and 661.49 is: 992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.86 : 3,589.49 = 661.49 : x
  2. Step 2: Convert to fraction form
    2,392.86/3,589.49 = 661.49/x
  3. Step 3: Cross multiply
    2,392.86x = 3,589.49 × 661.49
  4. Step 4: Simplify right side
    2,392.86x = 2,374,390.49
  5. Step 5: Solve for x
    x = 2,374,390.49/2,392.86
  6. Step 6: Final answer
    x = 992.28

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1.5x scale

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.