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Finding the Fourth Proportional to 12,678, 19,016.64 and 5,656.20

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Solution

The fourth proportional to 12,678, 19,016.64 and 5,656.20 is: 8,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678 : 19,016.64 = 5,656.20 : x
  2. Step 2: Convert to fraction form
    12,678/19,016.64 = 5,656.20/x
  3. Step 3: Cross multiply
    12,678x = 19,016.64 × 5,656.20
  4. Step 4: Simplify right side
    12,678x = 107,561,919.17
  5. Step 5: Solve for x
    x = 107,561,919.17/12,678
  6. Step 6: Final answer
    x = 8,484.14

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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.