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Finding the Fourth Proportional to 6,131.64, 8,470.20 and 5,904.08

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Solution

The fourth proportional to 6,131.64, 8,470.20 and 5,904.08 is: 8,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.64 : 8,470.20 = 5,904.08 : x
  2. Step 2: Convert to fraction form
    6,131.64/8,470.20 = 5,904.08/x
  3. Step 3: Cross multiply
    6,131.64x = 8,470.20 × 5,904.08
  4. Step 4: Simplify right side
    6,131.64x = 50,008,738.42
  5. Step 5: Solve for x
    x = 50,008,738.42/6,131.64
  6. Step 6: Final answer
    x = 8,155.85

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