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Finding the Fourth Proportional to 15,880, 23,821 and 5,349.16

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Solution

The fourth proportional to 15,880, 23,821 and 5,349.16 is: 8,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880 : 23,821 = 5,349.16 : x
  2. Step 2: Convert to fraction form
    15,880/23,821 = 5,349.16/x
  3. Step 3: Cross multiply
    15,880x = 23,821 × 5,349.16
  4. Step 4: Simplify right side
    15,880x = 127,422,340.36
  5. Step 5: Solve for x
    x = 127,422,340.36/15,880
  6. Step 6: Final answer
    x = 8,024.08

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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.