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Finding the Fourth Proportional to 6,102.81, 8,426.16 and 5,389.20

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Solution

The fourth proportional to 6,102.81, 8,426.16 and 5,389.20 is: 7,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.81 : 8,426.16 = 5,389.20 : x
  2. Step 2: Convert to fraction form
    6,102.81/8,426.16 = 5,389.20/x
  3. Step 3: Cross multiply
    6,102.81x = 8,426.16 × 5,389.20
  4. Step 4: Simplify right side
    6,102.81x = 45,410,261.47
  5. Step 5: Solve for x
    x = 45,410,261.47/6,102.81
  6. Step 6: Final answer
    x = 7,440.88

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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.