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Finding the Fourth Proportional to 3,973.02, 5,471.68 and 3,886.92

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Solution

The fourth proportional to 3,973.02, 5,471.68 and 3,886.92 is: 5,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.02 : 5,471.68 = 3,886.92 : x
  2. Step 2: Convert to fraction form
    3,973.02/5,471.68 = 3,886.92/x
  3. Step 3: Cross multiply
    3,973.02x = 5,471.68 × 3,886.92
  4. Step 4: Simplify right side
    3,973.02x = 21,267,982.43
  5. Step 5: Solve for x
    x = 21,267,982.43/3,973.02
  6. Step 6: Final answer
    x = 5,353.10

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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.