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Finding the Fourth Proportional to 1,765.64, 2,447.74 and 1,672.02

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Solution

The fourth proportional to 1,765.64, 2,447.74 and 1,672.02 is: 2,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.64 : 2,447.74 = 1,672.02 : x
  2. Step 2: Convert to fraction form
    1,765.64/2,447.74 = 1,672.02/x
  3. Step 3: Cross multiply
    1,765.64x = 2,447.74 × 1,672.02
  4. Step 4: Simplify right side
    1,765.64x = 4,092,649.64
  5. Step 5: Solve for x
    x = 4,092,649.64/1,765.64
  6. Step 6: Final answer
    x = 2,317.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.