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Finding the Fourth Proportional to 7,852.55, 11,762.91 and 3,891.87

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Solution

The fourth proportional to 7,852.55, 11,762.91 and 3,891.87 is: 5,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.55 : 11,762.91 = 3,891.87 : x
  2. Step 2: Convert to fraction form
    7,852.55/11,762.91 = 3,891.87/x
  3. Step 3: Cross multiply
    7,852.55x = 11,762.91 × 3,891.87
  4. Step 4: Simplify right side
    7,852.55x = 45,779,716.54
  5. Step 5: Solve for x
    x = 45,779,716.54/7,852.55
  6. Step 6: Final answer
    x = 5,829.92

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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.