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Finding the Fourth Proportional to 7,910.42, 10,906.25 and 6,488.90

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Solution

The fourth proportional to 7,910.42, 10,906.25 and 6,488.90 is: 8,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.42 : 10,906.25 = 6,488.90 : x
  2. Step 2: Convert to fraction form
    7,910.42/10,906.25 = 6,488.90/x
  3. Step 3: Cross multiply
    7,910.42x = 10,906.25 × 6,488.90
  4. Step 4: Simplify right side
    7,910.42x = 70,769,565.63
  5. Step 5: Solve for x
    x = 70,769,565.63/7,910.42
  6. Step 6: Final answer
    x = 8,946.37

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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.