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Finding the Fourth Proportional to 7,798.36, 11,698.50 and 3,180.76

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Solution

The fourth proportional to 7,798.36, 11,698.50 and 3,180.76 is: 4,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.36 : 11,698.50 = 3,180.76 : x
  2. Step 2: Convert to fraction form
    7,798.36/11,698.50 = 3,180.76/x
  3. Step 3: Cross multiply
    7,798.36x = 11,698.50 × 3,180.76
  4. Step 4: Simplify right side
    7,798.36x = 37,210,120.86
  5. Step 5: Solve for x
    x = 37,210,120.86/7,798.36
  6. Step 6: Final answer
    x = 4,771.53

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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.