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Finding the Fourth Proportional to 8,492.91, 12,740 and 2,252.89

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Solution

The fourth proportional to 8,492.91, 12,740 and 2,252.89 is: 3,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.91 : 12,740 = 2,252.89 : x
  2. Step 2: Convert to fraction form
    8,492.91/12,740 = 2,252.89/x
  3. Step 3: Cross multiply
    8,492.91x = 12,740 × 2,252.89
  4. Step 4: Simplify right side
    8,492.91x = 28,701,818.60
  5. Step 5: Solve for x
    x = 28,701,818.60/8,492.91
  6. Step 6: Final answer
    x = 3,379.50

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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.