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Finding the Fourth Proportional to 5,621.43, 7,758 and 4,136.16

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Solution

The fourth proportional to 5,621.43, 7,758 and 4,136.16 is: 5,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.43 : 7,758 = 4,136.16 : x
  2. Step 2: Convert to fraction form
    5,621.43/7,758 = 4,136.16/x
  3. Step 3: Cross multiply
    5,621.43x = 7,758 × 4,136.16
  4. Step 4: Simplify right side
    5,621.43x = 32,088,329.28
  5. Step 5: Solve for x
    x = 32,088,329.28/5,621.43
  6. Step 6: Final answer
    x = 5,708.21

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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.