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Finding the Fourth Proportional to 13,986.82, 19,302.42 and 8,019.06

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Solution

The fourth proportional to 13,986.82, 19,302.42 and 8,019.06 is: 11,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.82 : 19,302.42 = 8,019.06 : x
  2. Step 2: Convert to fraction form
    13,986.82/19,302.42 = 8,019.06/x
  3. Step 3: Cross multiply
    13,986.82x = 19,302.42 × 8,019.06
  4. Step 4: Simplify right side
    13,986.82x = 154,787,264.13
  5. Step 5: Solve for x
    x = 154,787,264.13/13,986.82
  6. Step 6: Final answer
    x = 11,066.65

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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.