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Finding the Fourth Proportional to 21,880.61, 32,814.03 and 7,086.11

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Solution

The fourth proportional to 21,880.61, 32,814.03 and 7,086.11 is: 10,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880.61 : 32,814.03 = 7,086.11 : x
  2. Step 2: Convert to fraction form
    21,880.61/32,814.03 = 7,086.11/x
  3. Step 3: Cross multiply
    21,880.61x = 32,814.03 × 7,086.11
  4. Step 4: Simplify right side
    21,880.61x = 232,523,826.12
  5. Step 5: Solve for x
    x = 232,523,826.12/21,880.61
  6. Step 6: Final answer
    x = 10,626.94

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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.