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Finding the Fourth Proportional to 10,687.94, 14,748.91 and 6,211.65

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Solution

The fourth proportional to 10,687.94, 14,748.91 and 6,211.65 is: 8,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.94 : 14,748.91 = 6,211.65 : x
  2. Step 2: Convert to fraction form
    10,687.94/14,748.91 = 6,211.65/x
  3. Step 3: Cross multiply
    10,687.94x = 14,748.91 × 6,211.65
  4. Step 4: Simplify right side
    10,687.94x = 91,615,066.80
  5. Step 5: Solve for x
    x = 91,615,066.80/10,687.94
  6. Step 6: Final answer
    x = 8,571.82

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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.