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Finding the Fourth Proportional to 13,218, 19,810.80 and 7,949.76

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Solution

The fourth proportional to 13,218, 19,810.80 and 7,949.76 is: 11,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218 : 19,810.80 = 7,949.76 : x
  2. Step 2: Convert to fraction form
    13,218/19,810.80 = 7,949.76/x
  3. Step 3: Cross multiply
    13,218x = 19,810.80 × 7,949.76
  4. Step 4: Simplify right side
    13,218x = 157,491,105.41
  5. Step 5: Solve for x
    x = 157,491,105.41/13,218
  6. Step 6: Final answer
    x = 11,914.90

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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.