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Finding the Fourth Proportional to 3,139.50, 4,709.25 and 1,087.50

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Solution

The fourth proportional to 3,139.50, 4,709.25 and 1,087.50 is: 1,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.50 : 4,709.25 = 1,087.50 : x
  2. Step 2: Convert to fraction form
    3,139.50/4,709.25 = 1,087.50/x
  3. Step 3: Cross multiply
    3,139.50x = 4,709.25 × 1,087.50
  4. Step 4: Simplify right side
    3,139.50x = 5,121,309.38
  5. Step 5: Solve for x
    x = 5,121,309.38/3,139.50
  6. Step 6: Final answer
    x = 1,631.25

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Double scale
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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.