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Finding the Fourth Proportional to 9,447.76, 14,152.20 and 5,542.75

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Solution

The fourth proportional to 9,447.76, 14,152.20 and 5,542.75 is: 8,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.76 : 14,152.20 = 5,542.75 : x
  2. Step 2: Convert to fraction form
    9,447.76/14,152.20 = 5,542.75/x
  3. Step 3: Cross multiply
    9,447.76x = 14,152.20 × 5,542.75
  4. Step 4: Simplify right side
    9,447.76x = 78,442,106.55
  5. Step 5: Solve for x
    x = 78,442,106.55/9,447.76
  6. Step 6: Final answer
    x = 8,302.72

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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.