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Finding the Fourth Proportional to 2,665.60, 3,999.29 and 816.74

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Solution

The fourth proportional to 2,665.60, 3,999.29 and 816.74 is: 1,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.60 : 3,999.29 = 816.74 : x
  2. Step 2: Convert to fraction form
    2,665.60/3,999.29 = 816.74/x
  3. Step 3: Cross multiply
    2,665.60x = 3,999.29 × 816.74
  4. Step 4: Simplify right side
    2,665.60x = 3,266,360.12
  5. Step 5: Solve for x
    x = 3,266,360.12/2,665.60
  6. Step 6: Final answer
    x = 1,225.37

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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.