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Finding the Fourth Proportional to 8,509.38, 11,739.18 and 5,674.02

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Solution

The fourth proportional to 8,509.38, 11,739.18 and 5,674.02 is: 7,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.38 : 11,739.18 = 5,674.02 : x
  2. Step 2: Convert to fraction form
    8,509.38/11,739.18 = 5,674.02/x
  3. Step 3: Cross multiply
    8,509.38x = 11,739.18 × 5,674.02
  4. Step 4: Simplify right side
    8,509.38x = 66,608,342.10
  5. Step 5: Solve for x
    x = 66,608,342.10/8,509.38
  6. Step 6: Final answer
    x = 7,827.64

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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.