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Finding the Fourth Proportional to 13,731.81, 18,950.18 and 7,763.12

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Solution

The fourth proportional to 13,731.81, 18,950.18 and 7,763.12 is: 10,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.81 : 18,950.18 = 7,763.12 : x
  2. Step 2: Convert to fraction form
    13,731.81/18,950.18 = 7,763.12/x
  3. Step 3: Cross multiply
    13,731.81x = 18,950.18 × 7,763.12
  4. Step 4: Simplify right side
    13,731.81x = 147,112,521.36
  5. Step 5: Solve for x
    x = 147,112,521.36/13,731.81
  6. Step 6: Final answer
    x = 10,713.27

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1.5x scale

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.