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Finding the Fourth Proportional to 9,532.98, 13,152.42 and 6,178.41

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Solution

The fourth proportional to 9,532.98, 13,152.42 and 6,178.41 is: 8,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.98 : 13,152.42 = 6,178.41 : x
  2. Step 2: Convert to fraction form
    9,532.98/13,152.42 = 6,178.41/x
  3. Step 3: Cross multiply
    9,532.98x = 13,152.42 × 6,178.41
  4. Step 4: Simplify right side
    9,532.98x = 81,261,043.25
  5. Step 5: Solve for x
    x = 81,261,043.25/9,532.98
  6. Step 6: Final answer
    x = 8,524.20

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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.