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Finding the Fourth Proportional to 21,710.99, 29,961.42 and 12,151.46

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Solution

The fourth proportional to 21,710.99, 29,961.42 and 12,151.46 is: 16,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.99 : 29,961.42 = 12,151.46 : x
  2. Step 2: Convert to fraction form
    21,710.99/29,961.42 = 12,151.46/x
  3. Step 3: Cross multiply
    21,710.99x = 29,961.42 × 12,151.46
  4. Step 4: Simplify right side
    21,710.99x = 364,074,996.67
  5. Step 5: Solve for x
    x = 364,074,996.67/21,710.99
  6. Step 6: Final answer
    x = 16,769.16

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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.