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Finding the Fourth Proportional to 8,497.84, 12,754.87 and 5,217.34

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Solution

The fourth proportional to 8,497.84, 12,754.87 and 5,217.34 is: 7,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.84 : 12,754.87 = 5,217.34 : x
  2. Step 2: Convert to fraction form
    8,497.84/12,754.87 = 5,217.34/x
  3. Step 3: Cross multiply
    8,497.84x = 12,754.87 × 5,217.34
  4. Step 4: Simplify right side
    8,497.84x = 66,546,403.58
  5. Step 5: Solve for x
    x = 66,546,403.58/8,497.84
  6. Step 6: Final answer
    x = 7,830.98

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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.