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Finding the Fourth Proportional to 6,985.41, 9,648.09 and 5,491.42

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Solution

The fourth proportional to 6,985.41, 9,648.09 and 5,491.42 is: 7,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.41 : 9,648.09 = 5,491.42 : x
  2. Step 2: Convert to fraction form
    6,985.41/9,648.09 = 5,491.42/x
  3. Step 3: Cross multiply
    6,985.41x = 9,648.09 × 5,491.42
  4. Step 4: Simplify right side
    6,985.41x = 52,981,701.96
  5. Step 5: Solve for x
    x = 52,981,701.96/6,985.41
  6. Step 6: Final answer
    x = 7,584.62

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1.5x scale

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.