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Finding the Fourth Proportional to 21,926.76, 32,889.50 and 8,775.40

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Solution

The fourth proportional to 21,926.76, 32,889.50 and 8,775.40 is: 13,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,926.76 : 32,889.50 = 8,775.40 : x
  2. Step 2: Convert to fraction form
    21,926.76/32,889.50 = 8,775.40/x
  3. Step 3: Cross multiply
    21,926.76x = 32,889.50 × 8,775.40
  4. Step 4: Simplify right side
    21,926.76x = 288,618,518.30
  5. Step 5: Solve for x
    x = 288,618,518.30/21,926.76
  6. Step 6: Final answer
    x = 13,162.84

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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.