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Finding the Fourth Proportional to 6,884.92, 10,339.50 and 5,130.40

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Solution

The fourth proportional to 6,884.92, 10,339.50 and 5,130.40 is: 7,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.92 : 10,339.50 = 5,130.40 : x
  2. Step 2: Convert to fraction form
    6,884.92/10,339.50 = 5,130.40/x
  3. Step 3: Cross multiply
    6,884.92x = 10,339.50 × 5,130.40
  4. Step 4: Simplify right side
    6,884.92x = 53,045,770.80
  5. Step 5: Solve for x
    x = 53,045,770.80/6,884.92
  6. Step 6: Final answer
    x = 7,704.63

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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.