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Finding the Fourth Proportional to 7,898.55, 11,850 and 3,455.41

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Solution

The fourth proportional to 7,898.55, 11,850 and 3,455.41 is: 5,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.55 : 11,850 = 3,455.41 : x
  2. Step 2: Convert to fraction form
    7,898.55/11,850 = 3,455.41/x
  3. Step 3: Cross multiply
    7,898.55x = 11,850 × 3,455.41
  4. Step 4: Simplify right side
    7,898.55x = 40,946,578.88
  5. Step 5: Solve for x
    x = 40,946,578.88/7,898.55
  6. Step 6: Final answer
    x = 5,184.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.