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Finding the Fourth Proportional to 11,425, 15,753.06 and 7,692.52

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Solution

The fourth proportional to 11,425, 15,753.06 and 7,692.52 is: 10,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425 : 15,753.06 = 7,692.52 : x
  2. Step 2: Convert to fraction form
    11,425/15,753.06 = 7,692.52/x
  3. Step 3: Cross multiply
    11,425x = 15,753.06 × 7,692.52
  4. Step 4: Simplify right side
    11,425x = 121,180,729.11
  5. Step 5: Solve for x
    x = 121,180,729.11/11,425
  6. Step 6: Final answer
    x = 10,606.63

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1.5x scale

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.