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Finding the Fourth Proportional to 12,713.77, 19,070.83 and 3,948.13

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Solution

The fourth proportional to 12,713.77, 19,070.83 and 3,948.13 is: 5,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.77 : 19,070.83 = 3,948.13 : x
  2. Step 2: Convert to fraction form
    12,713.77/19,070.83 = 3,948.13/x
  3. Step 3: Cross multiply
    12,713.77x = 19,070.83 × 3,948.13
  4. Step 4: Simplify right side
    12,713.77x = 75,294,020.69
  5. Step 5: Solve for x
    x = 75,294,020.69/12,713.77
  6. Step 6: Final answer
    x = 5,922.24

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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.