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Finding the Fourth Proportional to 12,653.64, 18,973.14 and 5,249.64

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Solution

The fourth proportional to 12,653.64, 18,973.14 and 5,249.64 is: 7,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.64 : 18,973.14 = 5,249.64 : x
  2. Step 2: Convert to fraction form
    12,653.64/18,973.14 = 5,249.64/x
  3. Step 3: Cross multiply
    12,653.64x = 18,973.14 × 5,249.64
  4. Step 4: Simplify right side
    12,653.64x = 99,602,154.67
  5. Step 5: Solve for x
    x = 99,602,154.67/12,653.64
  6. Step 6: Final answer
    x = 7,871.42

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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.