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Finding the Fourth Proportional to 13,354, 20,031.27 and 4,120

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Solution

The fourth proportional to 13,354, 20,031.27 and 4,120 is: 6,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354 : 20,031.27 = 4,120 : x
  2. Step 2: Convert to fraction form
    13,354/20,031.27 = 4,120/x
  3. Step 3: Cross multiply
    13,354x = 20,031.27 × 4,120
  4. Step 4: Simplify right side
    13,354x = 82,528,832.40
  5. Step 5: Solve for x
    x = 82,528,832.40/13,354
  6. Step 6: Final answer
    x = 6,180.08

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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.