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Finding the Fourth Proportional to 7,709.99, 10,640.79 and 5,726.21

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Solution

The fourth proportional to 7,709.99, 10,640.79 and 5,726.21 is: 7,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.99 : 10,640.79 = 5,726.21 : x
  2. Step 2: Convert to fraction form
    7,709.99/10,640.79 = 5,726.21/x
  3. Step 3: Cross multiply
    7,709.99x = 10,640.79 × 5,726.21
  4. Step 4: Simplify right side
    7,709.99x = 60,931,344.90
  5. Step 5: Solve for x
    x = 60,931,344.90/7,709.99
  6. Step 6: Final answer
    x = 7,902.91

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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.