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Finding the Fourth Proportional to 6,397, 9,595.46 and 1,780

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Solution

The fourth proportional to 6,397, 9,595.46 and 1,780 is: 2,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397 : 9,595.46 = 1,780 : x
  2. Step 2: Convert to fraction form
    6,397/9,595.46 = 1,780/x
  3. Step 3: Cross multiply
    6,397x = 9,595.46 × 1,780
  4. Step 4: Simplify right side
    6,397x = 17,079,918.80
  5. Step 5: Solve for x
    x = 17,079,918.80/6,397
  6. Step 6: Final answer
    x = 2,669.99

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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.