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Finding the Fourth Proportional to 11,161.49, 16,742.03 and 9,417.65

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Solution

The fourth proportional to 11,161.49, 16,742.03 and 9,417.65 is: 14,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.49 : 16,742.03 = 9,417.65 : x
  2. Step 2: Convert to fraction form
    11,161.49/16,742.03 = 9,417.65/x
  3. Step 3: Cross multiply
    11,161.49x = 16,742.03 × 9,417.65
  4. Step 4: Simplify right side
    11,161.49x = 157,670,448.03
  5. Step 5: Solve for x
    x = 157,670,448.03/11,161.49
  6. Step 6: Final answer
    x = 14,126.30

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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.