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Finding the Fourth Proportional to 15,771, 21,763.50 and 8,697.42

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Solution

The fourth proportional to 15,771, 21,763.50 and 8,697.42 is: 12,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771 : 21,763.50 = 8,697.42 : x
  2. Step 2: Convert to fraction form
    15,771/21,763.50 = 8,697.42/x
  3. Step 3: Cross multiply
    15,771x = 21,763.50 × 8,697.42
  4. Step 4: Simplify right side
    15,771x = 189,286,300.17
  5. Step 5: Solve for x
    x = 189,286,300.17/15,771
  6. Step 6: Final answer
    x = 12,002.17

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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.