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Finding the Fourth Proportional to 9,302.12, 13,951.02 and 3,461.48

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Solution

The fourth proportional to 9,302.12, 13,951.02 and 3,461.48 is: 5,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.12 : 13,951.02 = 3,461.48 : x
  2. Step 2: Convert to fraction form
    9,302.12/13,951.02 = 3,461.48/x
  3. Step 3: Cross multiply
    9,302.12x = 13,951.02 × 3,461.48
  4. Step 4: Simplify right side
    9,302.12x = 48,291,176.71
  5. Step 5: Solve for x
    x = 48,291,176.71/9,302.12
  6. Step 6: Final answer
    x = 5,191.42

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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.