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Finding the Fourth Proportional to 12,564.52, 18,822.14 and 7,288.45

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Solution

The fourth proportional to 12,564.52, 18,822.14 and 7,288.45 is: 10,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.52 : 18,822.14 = 7,288.45 : x
  2. Step 2: Convert to fraction form
    12,564.52/18,822.14 = 7,288.45/x
  3. Step 3: Cross multiply
    12,564.52x = 18,822.14 × 7,288.45
  4. Step 4: Simplify right side
    12,564.52x = 137,184,170.12
  5. Step 5: Solve for x
    x = 137,184,170.12/12,564.52
  6. Step 6: Final answer
    x = 10,918.38

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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.