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Finding the Fourth Proportional to 6,961.03, 9,607.67 and 6,400.61

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Solution

The fourth proportional to 6,961.03, 9,607.67 and 6,400.61 is: 8,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.03 : 9,607.67 = 6,400.61 : x
  2. Step 2: Convert to fraction form
    6,961.03/9,607.67 = 6,400.61/x
  3. Step 3: Cross multiply
    6,961.03x = 9,607.67 × 6,400.61
  4. Step 4: Simplify right side
    6,961.03x = 61,494,948.68
  5. Step 5: Solve for x
    x = 61,494,948.68/6,961.03
  6. Step 6: Final answer
    x = 8,834.17

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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.