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Finding the Fourth Proportional to 13,781.81, 19,019.04 and 7,494.32

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Solution

The fourth proportional to 13,781.81, 19,019.04 and 7,494.32 is: 10,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.81 : 19,019.04 = 7,494.32 : x
  2. Step 2: Convert to fraction form
    13,781.81/19,019.04 = 7,494.32/x
  3. Step 3: Cross multiply
    13,781.81x = 19,019.04 × 7,494.32
  4. Step 4: Simplify right side
    13,781.81x = 142,534,791.30
  5. Step 5: Solve for x
    x = 142,534,791.30/13,781.81
  6. Step 6: Final answer
    x = 10,342.24

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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.