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Finding the Fourth Proportional to 10,288, 14,197.44 and 5,572.28

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Solution

The fourth proportional to 10,288, 14,197.44 and 5,572.28 is: 7,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288 : 14,197.44 = 5,572.28 : x
  2. Step 2: Convert to fraction form
    10,288/14,197.44 = 5,572.28/x
  3. Step 3: Cross multiply
    10,288x = 14,197.44 × 5,572.28
  4. Step 4: Simplify right side
    10,288x = 79,112,110.96
  5. Step 5: Solve for x
    x = 79,112,110.96/10,288
  6. Step 6: Final answer
    x = 7,689.75

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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.