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Finding the Fourth Proportional to 13,724.70, 18,940.02 and 7,437.06

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Solution

The fourth proportional to 13,724.70, 18,940.02 and 7,437.06 is: 10,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.70 : 18,940.02 = 7,437.06 : x
  2. Step 2: Convert to fraction form
    13,724.70/18,940.02 = 7,437.06/x
  3. Step 3: Cross multiply
    13,724.70x = 18,940.02 × 7,437.06
  4. Step 4: Simplify right side
    13,724.70x = 140,858,065.14
  5. Step 5: Solve for x
    x = 140,858,065.14/13,724.70
  6. Step 6: Final answer
    x = 10,263.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.