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Finding the Fourth Proportional to 10,976, 16,464 and 4,820.16

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Solution

The fourth proportional to 10,976, 16,464 and 4,820.16 is: 7,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976 : 16,464 = 4,820.16 : x
  2. Step 2: Convert to fraction form
    10,976/16,464 = 4,820.16/x
  3. Step 3: Cross multiply
    10,976x = 16,464 × 4,820.16
  4. Step 4: Simplify right side
    10,976x = 79,359,114.24
  5. Step 5: Solve for x
    x = 79,359,114.24/10,976
  6. Step 6: Final answer
    x = 7,230.24

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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.