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Finding the Fourth Proportional to 5,212.14, 7,818.21 and 1,316.55

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Solution

The fourth proportional to 5,212.14, 7,818.21 and 1,316.55 is: 1,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.14 : 7,818.21 = 1,316.55 : x
  2. Step 2: Convert to fraction form
    5,212.14/7,818.21 = 1,316.55/x
  3. Step 3: Cross multiply
    5,212.14x = 7,818.21 × 1,316.55
  4. Step 4: Simplify right side
    5,212.14x = 10,293,064.38
  5. Step 5: Solve for x
    x = 10,293,064.38/5,212.14
  6. Step 6: Final answer
    x = 1,974.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.