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Finding the Fourth Proportional to 6,930.50, 10,345.86 and 6,438.42

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Solution

The fourth proportional to 6,930.50, 10,345.86 and 6,438.42 is: 9,611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.50 : 10,345.86 = 6,438.42 : x
  2. Step 2: Convert to fraction form
    6,930.50/10,345.86 = 6,438.42/x
  3. Step 3: Cross multiply
    6,930.50x = 10,345.86 × 6,438.42
  4. Step 4: Simplify right side
    6,930.50x = 66,610,991.94
  5. Step 5: Solve for x
    x = 66,610,991.94/6,930.50
  6. Step 6: Final answer
    x = 9,611.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.