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Finding the Fourth Proportional to 5,771.40, 8,640.90 and 5,188.20

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Solution

The fourth proportional to 5,771.40, 8,640.90 and 5,188.20 is: 7,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.40 : 8,640.90 = 5,188.20 : x
  2. Step 2: Convert to fraction form
    5,771.40/8,640.90 = 5,188.20/x
  3. Step 3: Cross multiply
    5,771.40x = 8,640.90 × 5,188.20
  4. Step 4: Simplify right side
    5,771.40x = 44,830,717.38
  5. Step 5: Solve for x
    x = 44,830,717.38/5,771.40
  6. Step 6: Final answer
    x = 7,767.74

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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.