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Finding the Fourth Proportional to 13,400, 18,492 and 7,812.08

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Solution

The fourth proportional to 13,400, 18,492 and 7,812.08 is: 10,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 18,492 = 7,812.08 : x
  2. Step 2: Convert to fraction form
    13,400/18,492 = 7,812.08/x
  3. Step 3: Cross multiply
    13,400x = 18,492 × 7,812.08
  4. Step 4: Simplify right side
    13,400x = 144,460,983.36
  5. Step 5: Solve for x
    x = 144,460,983.36/13,400
  6. Step 6: Final answer
    x = 10,780.67

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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.