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Finding the Fourth Proportional to 15,760, 23,640.32 and 4,816

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Solution

The fourth proportional to 15,760, 23,640.32 and 4,816 is: 7,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760 : 23,640.32 = 4,816 : x
  2. Step 2: Convert to fraction form
    15,760/23,640.32 = 4,816/x
  3. Step 3: Cross multiply
    15,760x = 23,640.32 × 4,816
  4. Step 4: Simplify right side
    15,760x = 113,851,781.12
  5. Step 5: Solve for x
    x = 113,851,781.12/15,760
  6. Step 6: Final answer
    x = 7,224.10

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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.