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Finding the Fourth Proportional to 14,471.69, 21,715.87 and 7,808.18

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Solution

The fourth proportional to 14,471.69, 21,715.87 and 7,808.18 is: 11,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.69 : 21,715.87 = 7,808.18 : x
  2. Step 2: Convert to fraction form
    14,471.69/21,715.87 = 7,808.18/x
  3. Step 3: Cross multiply
    14,471.69x = 21,715.87 × 7,808.18
  4. Step 4: Simplify right side
    14,471.69x = 169,561,357.25
  5. Step 5: Solve for x
    x = 169,561,357.25/14,471.69
  6. Step 6: Final answer
    x = 11,716.76

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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.