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Finding the Fourth Proportional to 13,807.44, 20,711.80 and 3,948.12

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Solution

The fourth proportional to 13,807.44, 20,711.80 and 3,948.12 is: 5,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.44 : 20,711.80 = 3,948.12 : x
  2. Step 2: Convert to fraction form
    13,807.44/20,711.80 = 3,948.12/x
  3. Step 3: Cross multiply
    13,807.44x = 20,711.80 × 3,948.12
  4. Step 4: Simplify right side
    13,807.44x = 81,772,671.82
  5. Step 5: Solve for x
    x = 81,772,671.82/13,807.44
  6. Step 6: Final answer
    x = 5,922.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.