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Finding the Fourth Proportional to 2,502.71, 3,453.64 and 1,383.57

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Solution

The fourth proportional to 2,502.71, 3,453.64 and 1,383.57 is: 1,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.71 : 3,453.64 = 1,383.57 : x
  2. Step 2: Convert to fraction form
    2,502.71/3,453.64 = 1,383.57/x
  3. Step 3: Cross multiply
    2,502.71x = 3,453.64 × 1,383.57
  4. Step 4: Simplify right side
    2,502.71x = 4,778,345.78
  5. Step 5: Solve for x
    x = 4,778,345.78/2,502.71
  6. Step 6: Final answer
    x = 1,909.27

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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.