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Finding the Fourth Proportional to 7,141.50, 10,712.25 and 3,037.50

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Solution

The fourth proportional to 7,141.50, 10,712.25 and 3,037.50 is: 4,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.50 : 10,712.25 = 3,037.50 : x
  2. Step 2: Convert to fraction form
    7,141.50/10,712.25 = 3,037.50/x
  3. Step 3: Cross multiply
    7,141.50x = 10,712.25 × 3,037.50
  4. Step 4: Simplify right side
    7,141.50x = 32,538,459.38
  5. Step 5: Solve for x
    x = 32,538,459.38/7,141.50
  6. Step 6: Final answer
    x = 4,556.25

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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.