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Finding the Fourth Proportional to 12,676.57, 17,470.47 and 8,420.11

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Solution

The fourth proportional to 12,676.57, 17,470.47 and 8,420.11 is: 11,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.57 : 17,470.47 = 8,420.11 : x
  2. Step 2: Convert to fraction form
    12,676.57/17,470.47 = 8,420.11/x
  3. Step 3: Cross multiply
    12,676.57x = 17,470.47 × 8,420.11
  4. Step 4: Simplify right side
    12,676.57x = 147,103,279.15
  5. Step 5: Solve for x
    x = 147,103,279.15/12,676.57
  6. Step 6: Final answer
    x = 11,604.34

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1.5x scale

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.