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Finding the Fourth Proportional to 6,971.86, 9,622.65 and 4,178.98

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Solution

The fourth proportional to 6,971.86, 9,622.65 and 4,178.98 is: 5,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.86 : 9,622.65 = 4,178.98 : x
  2. Step 2: Convert to fraction form
    6,971.86/9,622.65 = 4,178.98/x
  3. Step 3: Cross multiply
    6,971.86x = 9,622.65 × 4,178.98
  4. Step 4: Simplify right side
    6,971.86x = 40,212,861.90
  5. Step 5: Solve for x
    x = 40,212,861.90/6,971.86
  6. Step 6: Final answer
    x = 5,767.88

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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.