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Finding the Fourth Proportional to 7,980.52, 11,946.13 and 5,201.21

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Solution

The fourth proportional to 7,980.52, 11,946.13 and 5,201.21 is: 7,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.52 : 11,946.13 = 5,201.21 : x
  2. Step 2: Convert to fraction form
    7,980.52/11,946.13 = 5,201.21/x
  3. Step 3: Cross multiply
    7,980.52x = 11,946.13 × 5,201.21
  4. Step 4: Simplify right side
    7,980.52x = 62,134,330.82
  5. Step 5: Solve for x
    x = 62,134,330.82/7,980.52
  6. Step 6: Final answer
    x = 7,785.75

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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.