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Finding the Fourth Proportional to 7,074, 10,615.32 and 2,970

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Solution

The fourth proportional to 7,074, 10,615.32 and 2,970 is: 4,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074 : 10,615.32 = 2,970 : x
  2. Step 2: Convert to fraction form
    7,074/10,615.32 = 2,970/x
  3. Step 3: Cross multiply
    7,074x = 10,615.32 × 2,970
  4. Step 4: Simplify right side
    7,074x = 31,527,500.40
  5. Step 5: Solve for x
    x = 31,527,500.40/7,074
  6. Step 6: Final answer
    x = 4,456.81

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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.