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Finding the Fourth Proportional to 2,415.88, 3,623.82 and 591.88

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Solution

The fourth proportional to 2,415.88, 3,623.82 and 591.88 is: 887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.88 : 3,623.82 = 591.88 : x
  2. Step 2: Convert to fraction form
    2,415.88/3,623.82 = 591.88/x
  3. Step 3: Cross multiply
    2,415.88x = 3,623.82 × 591.88
  4. Step 4: Simplify right side
    2,415.88x = 2,144,845.50
  5. Step 5: Solve for x
    x = 2,144,845.50/2,415.88
  6. Step 6: Final answer
    x = 887.81

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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.