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Finding the Fourth Proportional to 13,201.50, 19,802.25 and 3,967.50

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Solution

The fourth proportional to 13,201.50, 19,802.25 and 3,967.50 is: 5,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.50 : 19,802.25 = 3,967.50 : x
  2. Step 2: Convert to fraction form
    13,201.50/19,802.25 = 3,967.50/x
  3. Step 3: Cross multiply
    13,201.50x = 19,802.25 × 3,967.50
  4. Step 4: Simplify right side
    13,201.50x = 78,565,426.88
  5. Step 5: Solve for x
    x = 78,565,426.88/13,201.50
  6. Step 6: Final answer
    x = 5,951.25

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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.