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Finding the Fourth Proportional to 13,782.11, 19,019.43 and 7,494.48

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Solution

The fourth proportional to 13,782.11, 19,019.43 and 7,494.48 is: 10,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.11 : 19,019.43 = 7,494.48 : x
  2. Step 2: Convert to fraction form
    13,782.11/19,019.43 = 7,494.48/x
  3. Step 3: Cross multiply
    13,782.11x = 19,019.43 × 7,494.48
  4. Step 4: Simplify right side
    13,782.11x = 142,540,737.75
  5. Step 5: Solve for x
    x = 142,540,737.75/13,782.11
  6. Step 6: Final answer
    x = 10,342.45

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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.