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Finding the Fourth Proportional to 7,830.60, 11,745.90 and 4,331.40

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Solution

The fourth proportional to 7,830.60, 11,745.90 and 4,331.40 is: 6,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.60 : 11,745.90 = 4,331.40 : x
  2. Step 2: Convert to fraction form
    7,830.60/11,745.90 = 4,331.40/x
  3. Step 3: Cross multiply
    7,830.60x = 11,745.90 × 4,331.40
  4. Step 4: Simplify right side
    7,830.60x = 50,876,191.26
  5. Step 5: Solve for x
    x = 50,876,191.26/7,830.60
  6. Step 6: Final answer
    x = 6,497.10

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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.