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Finding the Fourth Proportional to 8,632.80, 11,917.60 and 5,097.12

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Solution

The fourth proportional to 8,632.80, 11,917.60 and 5,097.12 is: 7,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.80 : 11,917.60 = 5,097.12 : x
  2. Step 2: Convert to fraction form
    8,632.80/11,917.60 = 5,097.12/x
  3. Step 3: Cross multiply
    8,632.80x = 11,917.60 × 5,097.12
  4. Step 4: Simplify right side
    8,632.80x = 60,745,437.31
  5. Step 5: Solve for x
    x = 60,745,437.31/8,632.80
  6. Step 6: Final answer
    x = 7,036.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.