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Finding the Fourth Proportional to 11,916.67, 16,446.98 and 6,613.20

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Solution

The fourth proportional to 11,916.67, 16,446.98 and 6,613.20 is: 9,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.67 : 16,446.98 = 6,613.20 : x
  2. Step 2: Convert to fraction form
    11,916.67/16,446.98 = 6,613.20/x
  3. Step 3: Cross multiply
    11,916.67x = 16,446.98 × 6,613.20
  4. Step 4: Simplify right side
    11,916.67x = 108,767,168.14
  5. Step 5: Solve for x
    x = 108,767,168.14/11,916.67
  6. Step 6: Final answer
    x = 9,127.31

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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.