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Finding the Fourth Proportional to 8,549.34, 12,824.01 and 6,828.90

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Solution

The fourth proportional to 8,549.34, 12,824.01 and 6,828.90 is: 10,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.34 : 12,824.01 = 6,828.90 : x
  2. Step 2: Convert to fraction form
    8,549.34/12,824.01 = 6,828.90/x
  3. Step 3: Cross multiply
    8,549.34x = 12,824.01 × 6,828.90
  4. Step 4: Simplify right side
    8,549.34x = 87,573,881.89
  5. Step 5: Solve for x
    x = 87,573,881.89/8,549.34
  6. Step 6: Final answer
    x = 10,243.35

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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.