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Finding the Fourth Proportional to 12,814.71, 19,221.90 and 10,618.84

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Solution

The fourth proportional to 12,814.71, 19,221.90 and 10,618.84 is: 15,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.71 : 19,221.90 = 10,618.84 : x
  2. Step 2: Convert to fraction form
    12,814.71/19,221.90 = 10,618.84/x
  3. Step 3: Cross multiply
    12,814.71x = 19,221.90 × 10,618.84
  4. Step 4: Simplify right side
    12,814.71x = 204,114,232.54
  5. Step 5: Solve for x
    x = 204,114,232.54/12,814.71
  6. Step 6: Final answer
    x = 15,928.12

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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.