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Finding the Fourth Proportional to 7,841.76, 11,762.43 and 1,918.64

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Solution

The fourth proportional to 7,841.76, 11,762.43 and 1,918.64 is: 2,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.76 : 11,762.43 = 1,918.64 : x
  2. Step 2: Convert to fraction form
    7,841.76/11,762.43 = 1,918.64/x
  3. Step 3: Cross multiply
    7,841.76x = 11,762.43 × 1,918.64
  4. Step 4: Simplify right side
    7,841.76x = 22,567,809.88
  5. Step 5: Solve for x
    x = 22,567,809.88/7,841.76
  6. Step 6: Final answer
    x = 2,877.90

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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.