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Finding the Fourth Proportional to 6,315.44, 8,713.52 and 4,077.36

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Solution

The fourth proportional to 6,315.44, 8,713.52 and 4,077.36 is: 5,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.44 : 8,713.52 = 4,077.36 : x
  2. Step 2: Convert to fraction form
    6,315.44/8,713.52 = 4,077.36/x
  3. Step 3: Cross multiply
    6,315.44x = 8,713.52 × 4,077.36
  4. Step 4: Simplify right side
    6,315.44x = 35,528,157.91
  5. Step 5: Solve for x
    x = 35,528,157.91/6,315.44
  6. Step 6: Final answer
    x = 5,625.60

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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.