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Finding the Fourth Proportional to 6,958.24, 9,603.81 and 6,397.81

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Solution

The fourth proportional to 6,958.24, 9,603.81 and 6,397.81 is: 8,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.24 : 9,603.81 = 6,397.81 : x
  2. Step 2: Convert to fraction form
    6,958.24/9,603.81 = 6,397.81/x
  3. Step 3: Cross multiply
    6,958.24x = 9,603.81 × 6,397.81
  4. Step 4: Simplify right side
    6,958.24x = 61,443,351.66
  5. Step 5: Solve for x
    x = 61,443,351.66/6,958.24
  6. Step 6: Final answer
    x = 8,830.31

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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.