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Finding the Fourth Proportional to 6,868.86, 10,214.94 and 6,650.16

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Solution

The fourth proportional to 6,868.86, 10,214.94 and 6,650.16 is: 9,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.86 : 10,214.94 = 6,650.16 : x
  2. Step 2: Convert to fraction form
    6,868.86/10,214.94 = 6,650.16/x
  3. Step 3: Cross multiply
    6,868.86x = 10,214.94 × 6,650.16
  4. Step 4: Simplify right side
    6,868.86x = 67,930,985.39
  5. Step 5: Solve for x
    x = 67,930,985.39/6,868.86
  6. Step 6: Final answer
    x = 9,889.70

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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.