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Finding the Fourth Proportional to 13,231.63, 19,841.07 and 7,686.56

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Solution

The fourth proportional to 13,231.63, 19,841.07 and 7,686.56 is: 11,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.63 : 19,841.07 = 7,686.56 : x
  2. Step 2: Convert to fraction form
    13,231.63/19,841.07 = 7,686.56/x
  3. Step 3: Cross multiply
    13,231.63x = 19,841.07 × 7,686.56
  4. Step 4: Simplify right side
    13,231.63x = 152,509,610.21
  5. Step 5: Solve for x
    x = 152,509,610.21/13,231.63
  6. Step 6: Final answer
    x = 11,526.14

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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.