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Finding the Fourth Proportional to 3,854.88, 5,784.63 and 1,663.61

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Solution

The fourth proportional to 3,854.88, 5,784.63 and 1,663.61 is: 2,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.88 : 5,784.63 = 1,663.61 : x
  2. Step 2: Convert to fraction form
    3,854.88/5,784.63 = 1,663.61/x
  3. Step 3: Cross multiply
    3,854.88x = 5,784.63 × 1,663.61
  4. Step 4: Simplify right side
    3,854.88x = 9,623,364.16
  5. Step 5: Solve for x
    x = 9,623,364.16/3,854.88
  6. Step 6: Final answer
    x = 2,496.41

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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.