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Finding the Fourth Proportional to 2,666.52, 3,999.24 and 817.02

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Solution

The fourth proportional to 2,666.52, 3,999.24 and 817.02 is: 1,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.52 : 3,999.24 = 817.02 : x
  2. Step 2: Convert to fraction form
    2,666.52/3,999.24 = 817.02/x
  3. Step 3: Cross multiply
    2,666.52x = 3,999.24 × 817.02
  4. Step 4: Simplify right side
    2,666.52x = 3,267,459.06
  5. Step 5: Solve for x
    x = 3,267,459.06/2,666.52
  6. Step 6: Final answer
    x = 1,225.36

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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.