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Finding the Fourth Proportional to 7,970, 11,957.90 and 2,498

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Solution

The fourth proportional to 7,970, 11,957.90 and 2,498 is: 3,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970 : 11,957.90 = 2,498 : x
  2. Step 2: Convert to fraction form
    7,970/11,957.90 = 2,498/x
  3. Step 3: Cross multiply
    7,970x = 11,957.90 × 2,498
  4. Step 4: Simplify right side
    7,970x = 29,870,834.20
  5. Step 5: Solve for x
    x = 29,870,834.20/7,970
  6. Step 6: Final answer
    x = 3,747.91

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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.