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Finding the Fourth Proportional to 15,926.43, 21,978.31 and 8,852.70

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Solution

The fourth proportional to 15,926.43, 21,978.31 and 8,852.70 is: 12,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926.43 : 21,978.31 = 8,852.70 : x
  2. Step 2: Convert to fraction form
    15,926.43/21,978.31 = 8,852.70/x
  3. Step 3: Cross multiply
    15,926.43x = 21,978.31 × 8,852.70
  4. Step 4: Simplify right side
    15,926.43x = 194,567,384.94
  5. Step 5: Solve for x
    x = 194,567,384.94/15,926.43
  6. Step 6: Final answer
    x = 12,216.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.