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Finding the Fourth Proportional to 9,914.40, 14,855.81 and 5,234.22

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Solution

The fourth proportional to 9,914.40, 14,855.81 and 5,234.22 is: 7,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.40 : 14,855.81 = 5,234.22 : x
  2. Step 2: Convert to fraction form
    9,914.40/14,855.81 = 5,234.22/x
  3. Step 3: Cross multiply
    9,914.40x = 14,855.81 × 5,234.22
  4. Step 4: Simplify right side
    9,914.40x = 77,758,551.65
  5. Step 5: Solve for x
    x = 77,758,551.65/9,914.40
  6. Step 6: Final answer
    x = 7,842.99

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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.