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Finding the Fourth Proportional to 8,490.34, 12,717.06 and 5,193.46

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Solution

The fourth proportional to 8,490.34, 12,717.06 and 5,193.46 is: 7,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.34 : 12,717.06 = 5,193.46 : x
  2. Step 2: Convert to fraction form
    8,490.34/12,717.06 = 5,193.46/x
  3. Step 3: Cross multiply
    8,490.34x = 12,717.06 × 5,193.46
  4. Step 4: Simplify right side
    8,490.34x = 66,045,542.43
  5. Step 5: Solve for x
    x = 66,045,542.43/8,490.34
  6. Step 6: Final answer
    x = 7,778.90

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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.