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Finding the Fourth Proportional to 5,640.65, 7,784.17 and 3,122.99

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Solution

The fourth proportional to 5,640.65, 7,784.17 and 3,122.99 is: 4,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.65 : 7,784.17 = 3,122.99 : x
  2. Step 2: Convert to fraction form
    5,640.65/7,784.17 = 3,122.99/x
  3. Step 3: Cross multiply
    5,640.65x = 7,784.17 × 3,122.99
  4. Step 4: Simplify right side
    5,640.65x = 24,309,896.72
  5. Step 5: Solve for x
    x = 24,309,896.72/5,640.65
  6. Step 6: Final answer
    x = 4,309.77

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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.