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Finding the Fourth Proportional to 13,781.60, 19,019.16 and 7,814

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Solution

The fourth proportional to 13,781.60, 19,019.16 and 7,814 is: 10,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.60 : 19,019.16 = 7,814 : x
  2. Step 2: Convert to fraction form
    13,781.60/19,019.16 = 7,814/x
  3. Step 3: Cross multiply
    13,781.60x = 19,019.16 × 7,814
  4. Step 4: Simplify right side
    13,781.60x = 148,615,716.24
  5. Step 5: Solve for x
    x = 148,615,716.24/13,781.60
  6. Step 6: Final answer
    x = 10,783.63

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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.