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Finding the Fourth Proportional to 15,027.94, 20,731.57 and 9,724.47

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Solution

The fourth proportional to 15,027.94, 20,731.57 and 9,724.47 is: 13,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,027.94 : 20,731.57 = 9,724.47 : x
  2. Step 2: Convert to fraction form
    15,027.94/20,731.57 = 9,724.47/x
  3. Step 3: Cross multiply
    15,027.94x = 20,731.57 × 9,724.47
  4. Step 4: Simplify right side
    15,027.94x = 201,603,530.52
  5. Step 5: Solve for x
    x = 201,603,530.52/15,027.94
  6. Step 6: Final answer
    x = 13,415.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.