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Finding the Fourth Proportional to 21,186.74, 31,774.74 and 8,710.21

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Solution

The fourth proportional to 21,186.74, 31,774.74 and 8,710.21 is: 13,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.74 : 31,774.74 = 8,710.21 : x
  2. Step 2: Convert to fraction form
    21,186.74/31,774.74 = 8,710.21/x
  3. Step 3: Cross multiply
    21,186.74x = 31,774.74 × 8,710.21
  4. Step 4: Simplify right side
    21,186.74x = 276,764,658.10
  5. Step 5: Solve for x
    x = 276,764,658.10/21,186.74
  6. Step 6: Final answer
    x = 13,063.11

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1.5x scale

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.