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Finding the Fourth Proportional to 8,522.84, 12,770.15 and 5,191.98

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Solution

The fourth proportional to 8,522.84, 12,770.15 and 5,191.98 is: 7,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.84 : 12,770.15 = 5,191.98 : x
  2. Step 2: Convert to fraction form
    8,522.84/12,770.15 = 5,191.98/x
  3. Step 3: Cross multiply
    8,522.84x = 12,770.15 × 5,191.98
  4. Step 4: Simplify right side
    8,522.84x = 66,302,337.44
  5. Step 5: Solve for x
    x = 66,302,337.44/8,522.84
  6. Step 6: Final answer
    x = 7,779.38

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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.