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Finding the Fourth Proportional to 15,516.53, 21,412.90 and 8,443

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Solution

The fourth proportional to 15,516.53, 21,412.90 and 8,443 is: 11,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,516.53 : 21,412.90 = 8,443 : x
  2. Step 2: Convert to fraction form
    15,516.53/21,412.90 = 8,443/x
  3. Step 3: Cross multiply
    15,516.53x = 21,412.90 × 8,443
  4. Step 4: Simplify right side
    15,516.53x = 180,789,114.70
  5. Step 5: Solve for x
    x = 180,789,114.70/15,516.53
  6. Step 6: Final answer
    x = 11,651.39

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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.