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Finding the Fourth Proportional to 7,858.16, 11,784.10 and 3,472.52

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Solution

The fourth proportional to 7,858.16, 11,784.10 and 3,472.52 is: 5,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.16 : 11,784.10 = 3,472.52 : x
  2. Step 2: Convert to fraction form
    7,858.16/11,784.10 = 3,472.52/x
  3. Step 3: Cross multiply
    7,858.16x = 11,784.10 × 3,472.52
  4. Step 4: Simplify right side
    7,858.16x = 40,920,522.93
  5. Step 5: Solve for x
    x = 40,920,522.93/7,858.16
  6. Step 6: Final answer
    x = 5,207.39

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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.