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Finding the Fourth Proportional to 2,391.63, 3,299.64 and 1,447.71

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Solution

The fourth proportional to 2,391.63, 3,299.64 and 1,447.71 is: 1,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.63 : 3,299.64 = 1,447.71 : x
  2. Step 2: Convert to fraction form
    2,391.63/3,299.64 = 1,447.71/x
  3. Step 3: Cross multiply
    2,391.63x = 3,299.64 × 1,447.71
  4. Step 4: Simplify right side
    2,391.63x = 4,776,921.82
  5. Step 5: Solve for x
    x = 4,776,921.82/2,391.63
  6. Step 6: Final answer
    x = 1,997.35

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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.