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Finding the Fourth Proportional to 25,200, 37,799.28 and 7,667.28

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Solution

The fourth proportional to 25,200, 37,799.28 and 7,667.28 is: 11,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200 : 37,799.28 = 7,667.28 : x
  2. Step 2: Convert to fraction form
    25,200/37,799.28 = 7,667.28/x
  3. Step 3: Cross multiply
    25,200x = 37,799.28 × 7,667.28
  4. Step 4: Simplify right side
    25,200x = 289,817,663.56
  5. Step 5: Solve for x
    x = 289,817,663.56/25,200
  6. Step 6: Final answer
    x = 11,500.70

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1.5x scale

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.