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Finding the Fourth Proportional to 8,315.06, 11,474.80 and 4,538.30

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Solution

The fourth proportional to 8,315.06, 11,474.80 and 4,538.30 is: 6,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.06 : 11,474.80 = 4,538.30 : x
  2. Step 2: Convert to fraction form
    8,315.06/11,474.80 = 4,538.30/x
  3. Step 3: Cross multiply
    8,315.06x = 11,474.80 × 4,538.30
  4. Step 4: Simplify right side
    8,315.06x = 52,076,084.84
  5. Step 5: Solve for x
    x = 52,076,084.84/8,315.06
  6. Step 6: Final answer
    x = 6,262.86

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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.