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Finding the Fourth Proportional to 7,204.86, 10,810.94 and 5,130.86

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Solution

The fourth proportional to 7,204.86, 10,810.94 and 5,130.86 is: 7,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.86 : 10,810.94 = 5,130.86 : x
  2. Step 2: Convert to fraction form
    7,204.86/10,810.94 = 5,130.86/x
  3. Step 3: Cross multiply
    7,204.86x = 10,810.94 × 5,130.86
  4. Step 4: Simplify right side
    7,204.86x = 55,469,339.90
  5. Step 5: Solve for x
    x = 55,469,339.90/7,204.86
  6. Step 6: Final answer
    x = 7,698.88

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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.