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Finding the Fourth Proportional to 10,305.22, 15,433.78 and 7,525

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Solution

The fourth proportional to 10,305.22, 15,433.78 and 7,525 is: 11,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.22 : 15,433.78 = 7,525 : x
  2. Step 2: Convert to fraction form
    10,305.22/15,433.78 = 7,525/x
  3. Step 3: Cross multiply
    10,305.22x = 15,433.78 × 7,525
  4. Step 4: Simplify right side
    10,305.22x = 116,139,194.50
  5. Step 5: Solve for x
    x = 116,139,194.50/10,305.22
  6. Step 6: Final answer
    x = 11,269.94

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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.