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Finding the Fourth Proportional to 7,871.86, 11,810.52 and 3,492.39

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Solution

The fourth proportional to 7,871.86, 11,810.52 and 3,492.39 is: 5,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.86 : 11,810.52 = 3,492.39 : x
  2. Step 2: Convert to fraction form
    7,871.86/11,810.52 = 3,492.39/x
  3. Step 3: Cross multiply
    7,871.86x = 11,810.52 × 3,492.39
  4. Step 4: Simplify right side
    7,871.86x = 41,246,941.94
  5. Step 5: Solve for x
    x = 41,246,941.94/7,871.86
  6. Step 6: Final answer
    x = 5,239.80

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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.