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Finding the Fourth Proportional to 6,846.40, 10,253.40 and 4,643.20

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Solution

The fourth proportional to 6,846.40, 10,253.40 and 4,643.20 is: 6,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.40 : 10,253.40 = 4,643.20 : x
  2. Step 2: Convert to fraction form
    6,846.40/10,253.40 = 4,643.20/x
  3. Step 3: Cross multiply
    6,846.40x = 10,253.40 × 4,643.20
  4. Step 4: Simplify right side
    6,846.40x = 47,608,586.88
  5. Step 5: Solve for x
    x = 47,608,586.88/6,846.40
  6. Step 6: Final answer
    x = 6,953.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.