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Finding the Fourth Proportional to 7,188.57, 10,784.58 and 2,258.21

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Solution

The fourth proportional to 7,188.57, 10,784.58 and 2,258.21 is: 3,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.57 : 10,784.58 = 2,258.21 : x
  2. Step 2: Convert to fraction form
    7,188.57/10,784.58 = 2,258.21/x
  3. Step 3: Cross multiply
    7,188.57x = 10,784.58 × 2,258.21
  4. Step 4: Simplify right side
    7,188.57x = 24,353,846.40
  5. Step 5: Solve for x
    x = 24,353,846.40/7,188.57
  6. Step 6: Final answer
    x = 3,387.86

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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.