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Finding the Fourth Proportional to 1,773.78, 2,447.19 and 1,353.45

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Solution

The fourth proportional to 1,773.78, 2,447.19 and 1,353.45 is: 1,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.78 : 2,447.19 = 1,353.45 : x
  2. Step 2: Convert to fraction form
    1,773.78/2,447.19 = 1,353.45/x
  3. Step 3: Cross multiply
    1,773.78x = 2,447.19 × 1,353.45
  4. Step 4: Simplify right side
    1,773.78x = 3,312,149.31
  5. Step 5: Solve for x
    x = 3,312,149.31/1,773.78
  6. Step 6: Final answer
    x = 1,867.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.