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Finding the Fourth Proportional to 20,978.28, 31,467.36 and 14,384.46

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Solution

The fourth proportional to 20,978.28, 31,467.36 and 14,384.46 is: 21,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.28 : 31,467.36 = 14,384.46 : x
  2. Step 2: Convert to fraction form
    20,978.28/31,467.36 = 14,384.46/x
  3. Step 3: Cross multiply
    20,978.28x = 31,467.36 × 14,384.46
  4. Step 4: Simplify right side
    20,978.28x = 452,640,981.23
  5. Step 5: Solve for x
    x = 452,640,981.23/20,978.28
  6. Step 6: Final answer
    x = 21,576.65

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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.