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Finding the Fourth Proportional to 7,909.66, 11,867.70 and 4,210.78

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Solution

The fourth proportional to 7,909.66, 11,867.70 and 4,210.78 is: 6,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.66 : 11,867.70 = 4,210.78 : x
  2. Step 2: Convert to fraction form
    7,909.66/11,867.70 = 4,210.78/x
  3. Step 3: Cross multiply
    7,909.66x = 11,867.70 × 4,210.78
  4. Step 4: Simplify right side
    7,909.66x = 49,972,273.81
  5. Step 5: Solve for x
    x = 49,972,273.81/7,909.66
  6. Step 6: Final answer
    x = 6,317.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.