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Finding the Fourth Proportional to 13,954.01, 20,931.06 and 3,424.07

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Solution

The fourth proportional to 13,954.01, 20,931.06 and 3,424.07 is: 5,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.01 : 20,931.06 = 3,424.07 : x
  2. Step 2: Convert to fraction form
    13,954.01/20,931.06 = 3,424.07/x
  3. Step 3: Cross multiply
    13,954.01x = 20,931.06 × 3,424.07
  4. Step 4: Simplify right side
    13,954.01x = 71,669,414.61
  5. Step 5: Solve for x
    x = 71,669,414.61/13,954.01
  6. Step 6: Final answer
    x = 5,136.12

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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.