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Finding the Fourth Proportional to 18,650, 27,970.70 and 5,322.74

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Solution

The fourth proportional to 18,650, 27,970.70 and 5,322.74 is: 7,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,650 : 27,970.70 = 5,322.74 : x
  2. Step 2: Convert to fraction form
    18,650/27,970.70 = 5,322.74/x
  3. Step 3: Cross multiply
    18,650x = 27,970.70 × 5,322.74
  4. Step 4: Simplify right side
    18,650x = 148,880,763.72
  5. Step 5: Solve for x
    x = 148,880,763.72/18,650
  6. Step 6: Final answer
    x = 7,982.88

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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.