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Finding the Fourth Proportional to 7,139.81, 10,709.91 and 1,945.68

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Solution

The fourth proportional to 7,139.81, 10,709.91 and 1,945.68 is: 2,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.81 : 10,709.91 = 1,945.68 : x
  2. Step 2: Convert to fraction form
    7,139.81/10,709.91 = 1,945.68/x
  3. Step 3: Cross multiply
    7,139.81x = 10,709.91 × 1,945.68
  4. Step 4: Simplify right side
    7,139.81x = 20,838,057.69
  5. Step 5: Solve for x
    x = 20,838,057.69/7,139.81
  6. Step 6: Final answer
    x = 2,918.58

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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.