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Finding the Fourth Proportional to 9,486.81, 13,097.96 and 8,490.37

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Solution

The fourth proportional to 9,486.81, 13,097.96 and 8,490.37 is: 11,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.81 : 13,097.96 = 8,490.37 : x
  2. Step 2: Convert to fraction form
    9,486.81/13,097.96 = 8,490.37/x
  3. Step 3: Cross multiply
    9,486.81x = 13,097.96 × 8,490.37
  4. Step 4: Simplify right side
    9,486.81x = 111,206,526.65
  5. Step 5: Solve for x
    x = 111,206,526.65/9,486.81
  6. Step 6: Final answer
    x = 11,722.23

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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.