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Finding the Fourth Proportional to 15,809.36, 23,728.32 and 8,420

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Solution

The fourth proportional to 15,809.36, 23,728.32 and 8,420 is: 12,637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.36 : 23,728.32 = 8,420 : x
  2. Step 2: Convert to fraction form
    15,809.36/23,728.32 = 8,420/x
  3. Step 3: Cross multiply
    15,809.36x = 23,728.32 × 8,420
  4. Step 4: Simplify right side
    15,809.36x = 199,792,454.40
  5. Step 5: Solve for x
    x = 199,792,454.40/15,809.36
  6. Step 6: Final answer
    x = 12,637.61

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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.