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Finding the Fourth Proportional to 5,212.06, 7,818 and 1,316.44

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Solution

The fourth proportional to 5,212.06, 7,818 and 1,316.44 is: 1,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.06 : 7,818 = 1,316.44 : x
  2. Step 2: Convert to fraction form
    5,212.06/7,818 = 1,316.44/x
  3. Step 3: Cross multiply
    5,212.06x = 7,818 × 1,316.44
  4. Step 4: Simplify right side
    5,212.06x = 10,291,927.92
  5. Step 5: Solve for x
    x = 10,291,927.92/5,212.06
  6. Step 6: Final answer
    x = 1,974.64

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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.