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Finding the Fourth Proportional to 5,246.60, 7,869.90 and 4,286.60

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Solution

The fourth proportional to 5,246.60, 7,869.90 and 4,286.60 is: 6,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.60 : 7,869.90 = 4,286.60 : x
  2. Step 2: Convert to fraction form
    5,246.60/7,869.90 = 4,286.60/x
  3. Step 3: Cross multiply
    5,246.60x = 7,869.90 × 4,286.60
  4. Step 4: Simplify right side
    5,246.60x = 33,735,113.34
  5. Step 5: Solve for x
    x = 33,735,113.34/5,246.60
  6. Step 6: Final answer
    x = 6,429.90

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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.