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Finding the Fourth Proportional to 21,964, 32,946 and 8,113

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Solution

The fourth proportional to 21,964, 32,946 and 8,113 is: 12,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964 : 32,946 = 8,113 : x
  2. Step 2: Convert to fraction form
    21,964/32,946 = 8,113/x
  3. Step 3: Cross multiply
    21,964x = 32,946 × 8,113
  4. Step 4: Simplify right side
    21,964x = 267,290,898
  5. Step 5: Solve for x
    x = 267,290,898/21,964
  6. Step 6: Final answer
    x = 12,169.50

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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.