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Finding the Fourth Proportional to 13,191.50, 19,787.25 and 3,957.50

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Solution

The fourth proportional to 13,191.50, 19,787.25 and 3,957.50 is: 5,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.50 : 19,787.25 = 3,957.50 : x
  2. Step 2: Convert to fraction form
    13,191.50/19,787.25 = 3,957.50/x
  3. Step 3: Cross multiply
    13,191.50x = 19,787.25 × 3,957.50
  4. Step 4: Simplify right side
    13,191.50x = 78,308,041.88
  5. Step 5: Solve for x
    x = 78,308,041.88/13,191.50
  6. Step 6: Final answer
    x = 5,936.25

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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.