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Finding the Fourth Proportional to 10,716, 16,082.64 and 5,523.36

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Solution

The fourth proportional to 10,716, 16,082.64 and 5,523.36 is: 8,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716 : 16,082.64 = 5,523.36 : x
  2. Step 2: Convert to fraction form
    10,716/16,082.64 = 5,523.36/x
  3. Step 3: Cross multiply
    10,716x = 16,082.64 × 5,523.36
  4. Step 4: Simplify right side
    10,716x = 88,830,210.47
  5. Step 5: Solve for x
    x = 88,830,210.47/10,716
  6. Step 6: Final answer
    x = 8,289.49

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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.