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Finding the Fourth Proportional to 13,127.50, 19,691.25 and 3,893.50

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Solution

The fourth proportional to 13,127.50, 19,691.25 and 3,893.50 is: 5,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,127.50 : 19,691.25 = 3,893.50 : x
  2. Step 2: Convert to fraction form
    13,127.50/19,691.25 = 3,893.50/x
  3. Step 3: Cross multiply
    13,127.50x = 19,691.25 × 3,893.50
  4. Step 4: Simplify right side
    13,127.50x = 76,667,881.88
  5. Step 5: Solve for x
    x = 76,667,881.88/13,127.50
  6. Step 6: Final answer
    x = 5,840.25

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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.