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Finding the Fourth Proportional to 13,285.71, 19,936.74 and 5,494.50

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Solution

The fourth proportional to 13,285.71, 19,936.74 and 5,494.50 is: 8,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.71 : 19,936.74 = 5,494.50 : x
  2. Step 2: Convert to fraction form
    13,285.71/19,936.74 = 5,494.50/x
  3. Step 3: Cross multiply
    13,285.71x = 19,936.74 × 5,494.50
  4. Step 4: Simplify right side
    13,285.71x = 109,542,417.93
  5. Step 5: Solve for x
    x = 109,542,417.93/13,285.71
  6. Step 6: Final answer
    x = 8,245.13

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1.5x scale

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.