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Finding the Fourth Proportional to 2,165.89, 3,248.82 and 522.43

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Solution

The fourth proportional to 2,165.89, 3,248.82 and 522.43 is: 783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.89 : 3,248.82 = 522.43 : x
  2. Step 2: Convert to fraction form
    2,165.89/3,248.82 = 522.43/x
  3. Step 3: Cross multiply
    2,165.89x = 3,248.82 × 522.43
  4. Step 4: Simplify right side
    2,165.89x = 1,697,281.03
  5. Step 5: Solve for x
    x = 1,697,281.03/2,165.89
  6. Step 6: Final answer
    x = 783.64

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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.