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Finding the Fourth Proportional to 11,712.69, 16,184.04 and 9,214.65

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Solution

The fourth proportional to 11,712.69, 16,184.04 and 9,214.65 is: 12,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.69 : 16,184.04 = 9,214.65 : x
  2. Step 2: Convert to fraction form
    11,712.69/16,184.04 = 9,214.65/x
  3. Step 3: Cross multiply
    11,712.69x = 16,184.04 × 9,214.65
  4. Step 4: Simplify right side
    11,712.69x = 149,130,264.19
  5. Step 5: Solve for x
    x = 149,130,264.19/11,712.69
  6. Step 6: Final answer
    x = 12,732.37

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Double scale
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Similar ratio
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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.