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Finding the Fourth Proportional to 13,401.40, 20,103.70 and 6,471

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Solution

The fourth proportional to 13,401.40, 20,103.70 and 6,471 is: 9,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.40 : 20,103.70 = 6,471 : x
  2. Step 2: Convert to fraction form
    13,401.40/20,103.70 = 6,471/x
  3. Step 3: Cross multiply
    13,401.40x = 20,103.70 × 6,471
  4. Step 4: Simplify right side
    13,401.40x = 130,091,042.70
  5. Step 5: Solve for x
    x = 130,091,042.70/13,401.40
  6. Step 6: Final answer
    x = 9,707.27

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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.