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Finding the Fourth Proportional to 15,571, 23,356.38 and 4,477.78

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Solution

The fourth proportional to 15,571, 23,356.38 and 4,477.78 is: 6,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,571 : 23,356.38 = 4,477.78 : x
  2. Step 2: Convert to fraction form
    15,571/23,356.38 = 4,477.78/x
  3. Step 3: Cross multiply
    15,571x = 23,356.38 × 4,477.78
  4. Step 4: Simplify right side
    15,571x = 104,584,731.24
  5. Step 5: Solve for x
    x = 104,584,731.24/15,571
  6. Step 6: Final answer
    x = 6,716.64

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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.