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Finding the Fourth Proportional to 13,215, 19,825.80 and 3,981

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Solution

The fourth proportional to 13,215, 19,825.80 and 3,981 is: 5,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215 : 19,825.80 = 3,981 : x
  2. Step 2: Convert to fraction form
    13,215/19,825.80 = 3,981/x
  3. Step 3: Cross multiply
    13,215x = 19,825.80 × 3,981
  4. Step 4: Simplify right side
    13,215x = 78,926,509.80
  5. Step 5: Solve for x
    x = 78,926,509.80/13,215
  6. Step 6: Final answer
    x = 5,972.49

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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.