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Finding the Fourth Proportional to 12,646.71, 18,973.71 and 5,249.79

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Solution

The fourth proportional to 12,646.71, 18,973.71 and 5,249.79 is: 7,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.71 : 18,973.71 = 5,249.79 : x
  2. Step 2: Convert to fraction form
    12,646.71/18,973.71 = 5,249.79/x
  3. Step 3: Cross multiply
    12,646.71x = 18,973.71 × 5,249.79
  4. Step 4: Simplify right side
    12,646.71x = 99,607,993.02
  5. Step 5: Solve for x
    x = 99,607,993.02/12,646.71
  6. Step 6: Final answer
    x = 7,876.20

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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.