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Finding the Fourth Proportional to 20,978.45, 31,467.69 and 14,384.64

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Solution

The fourth proportional to 20,978.45, 31,467.69 and 14,384.64 is: 21,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.45 : 31,467.69 = 14,384.64 : x
  2. Step 2: Convert to fraction form
    20,978.45/31,467.69 = 14,384.64/x
  3. Step 3: Cross multiply
    20,978.45x = 31,467.69 × 14,384.64
  4. Step 4: Simplify right side
    20,978.45x = 452,651,392.28
  5. Step 5: Solve for x
    x = 452,651,392.28/20,978.45
  6. Step 6: Final answer
    x = 21,576.98

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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.