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Finding the Fourth Proportional to 5,636.60, 8,454.90 and 2,564.60

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Solution

The fourth proportional to 5,636.60, 8,454.90 and 2,564.60 is: 3,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.60 : 8,454.90 = 2,564.60 : x
  2. Step 2: Convert to fraction form
    5,636.60/8,454.90 = 2,564.60/x
  3. Step 3: Cross multiply
    5,636.60x = 8,454.90 × 2,564.60
  4. Step 4: Simplify right side
    5,636.60x = 21,683,436.54
  5. Step 5: Solve for x
    x = 21,683,436.54/5,636.60
  6. Step 6: Final answer
    x = 3,846.90

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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.