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Finding the Fourth Proportional to 5,896.80, 8,136.72 and 3,904.20

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Solution

The fourth proportional to 5,896.80, 8,136.72 and 3,904.20 is: 5,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.80 : 8,136.72 = 3,904.20 : x
  2. Step 2: Convert to fraction form
    5,896.80/8,136.72 = 3,904.20/x
  3. Step 3: Cross multiply
    5,896.80x = 8,136.72 × 3,904.20
  4. Step 4: Simplify right side
    5,896.80x = 31,767,382.22
  5. Step 5: Solve for x
    x = 31,767,382.22/5,896.80
  6. Step 6: Final answer
    x = 5,387.22

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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.