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Finding the Fourth Proportional to 5,775.36, 7,970 and 3,122.79

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Solution

The fourth proportional to 5,775.36, 7,970 and 3,122.79 is: 4,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.36 : 7,970 = 3,122.79 : x
  2. Step 2: Convert to fraction form
    5,775.36/7,970 = 3,122.79/x
  3. Step 3: Cross multiply
    5,775.36x = 7,970 × 3,122.79
  4. Step 4: Simplify right side
    5,775.36x = 24,888,636.30
  5. Step 5: Solve for x
    x = 24,888,636.30/5,775.36
  6. Step 6: Final answer
    x = 4,309.45

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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.