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Finding the Fourth Proportional to 12,731.30, 19,059.99 and 8,284.13

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Solution

The fourth proportional to 12,731.30, 19,059.99 and 8,284.13 is: 12,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.30 : 19,059.99 = 8,284.13 : x
  2. Step 2: Convert to fraction form
    12,731.30/19,059.99 = 8,284.13/x
  3. Step 3: Cross multiply
    12,731.30x = 19,059.99 × 8,284.13
  4. Step 4: Simplify right side
    12,731.30x = 157,895,434.96
  5. Step 5: Solve for x
    x = 157,895,434.96/12,731.30
  6. Step 6: Final answer
    x = 12,402.15

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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.