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Finding the Fourth Proportional to 5,065.92, 6,992.64 and 2,970

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Solution

The fourth proportional to 5,065.92, 6,992.64 and 2,970 is: 4,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.92 : 6,992.64 = 2,970 : x
  2. Step 2: Convert to fraction form
    5,065.92/6,992.64 = 2,970/x
  3. Step 3: Cross multiply
    5,065.92x = 6,992.64 × 2,970
  4. Step 4: Simplify right side
    5,065.92x = 20,768,140.80
  5. Step 5: Solve for x
    x = 20,768,140.80/5,065.92
  6. Step 6: Final answer
    x = 4,099.58

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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.