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Finding the Fourth Proportional to 13,807.46, 20,714.44 and 3,946.48

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Solution

The fourth proportional to 13,807.46, 20,714.44 and 3,946.48 is: 5,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.46 : 20,714.44 = 3,946.48 : x
  2. Step 2: Convert to fraction form
    13,807.46/20,714.44 = 3,946.48/x
  3. Step 3: Cross multiply
    13,807.46x = 20,714.44 × 3,946.48
  4. Step 4: Simplify right side
    13,807.46x = 81,749,123.17
  5. Step 5: Solve for x
    x = 81,749,123.17/13,807.46
  6. Step 6: Final answer
    x = 5,920.65

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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.