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Finding the Fourth Proportional to 13,215, 19,806.30 and 7,946.76

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Solution

The fourth proportional to 13,215, 19,806.30 and 7,946.76 is: 11,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215 : 19,806.30 = 7,946.76 : x
  2. Step 2: Convert to fraction form
    13,215/19,806.30 = 7,946.76/x
  3. Step 3: Cross multiply
    13,215x = 19,806.30 × 7,946.76
  4. Step 4: Simplify right side
    13,215x = 157,395,912.59
  5. Step 5: Solve for x
    x = 157,395,912.59/13,215
  6. Step 6: Final answer
    x = 11,910.40

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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.