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Finding the Fourth Proportional to 15,349.94, 23,029.78 and 5,489

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Solution

The fourth proportional to 15,349.94, 23,029.78 and 5,489 is: 8,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349.94 : 23,029.78 = 5,489 : x
  2. Step 2: Convert to fraction form
    15,349.94/23,029.78 = 5,489/x
  3. Step 3: Cross multiply
    15,349.94x = 23,029.78 × 5,489
  4. Step 4: Simplify right side
    15,349.94x = 126,410,462.42
  5. Step 5: Solve for x
    x = 126,410,462.42/15,349.94
  6. Step 6: Final answer
    x = 8,235.24

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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.