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Finding the Fourth Proportional to 5,170.70, 7,136.70 and 3,402.47

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Solution

The fourth proportional to 5,170.70, 7,136.70 and 3,402.47 is: 4,696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.70 : 7,136.70 = 3,402.47 : x
  2. Step 2: Convert to fraction form
    5,170.70/7,136.70 = 3,402.47/x
  3. Step 3: Cross multiply
    5,170.70x = 7,136.70 × 3,402.47
  4. Step 4: Simplify right side
    5,170.70x = 24,282,407.65
  5. Step 5: Solve for x
    x = 24,282,407.65/5,170.70
  6. Step 6: Final answer
    x = 4,696.15

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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.