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Finding the Fourth Proportional to 13,310.12, 19,965.06 and 5,102.12

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Solution

The fourth proportional to 13,310.12, 19,965.06 and 5,102.12 is: 7,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.12 : 19,965.06 = 5,102.12 : x
  2. Step 2: Convert to fraction form
    13,310.12/19,965.06 = 5,102.12/x
  3. Step 3: Cross multiply
    13,310.12x = 19,965.06 × 5,102.12
  4. Step 4: Simplify right side
    13,310.12x = 101,864,131.93
  5. Step 5: Solve for x
    x = 101,864,131.93/13,310.12
  6. Step 6: Final answer
    x = 7,653.13

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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.