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Finding the Fourth Proportional to 13,807.97, 20,715.20 and 3,946.98

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Solution

The fourth proportional to 13,807.97, 20,715.20 and 3,946.98 is: 5,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.97 : 20,715.20 = 3,946.98 : x
  2. Step 2: Convert to fraction form
    13,807.97/20,715.20 = 3,946.98/x
  3. Step 3: Cross multiply
    13,807.97x = 20,715.20 × 3,946.98
  4. Step 4: Simplify right side
    13,807.97x = 81,762,460.36
  5. Step 5: Solve for x
    x = 81,762,460.36/13,807.97
  6. Step 6: Final answer
    x = 5,921.40

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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.