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Finding the Fourth Proportional to 7,762.02, 11,642.82 and 1,918.68

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Solution

The fourth proportional to 7,762.02, 11,642.82 and 1,918.68 is: 2,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.02 : 11,642.82 = 1,918.68 : x
  2. Step 2: Convert to fraction form
    7,762.02/11,642.82 = 1,918.68/x
  3. Step 3: Cross multiply
    7,762.02x = 11,642.82 × 1,918.68
  4. Step 4: Simplify right side
    7,762.02x = 22,338,845.88
  5. Step 5: Solve for x
    x = 22,338,845.88/7,762.02
  6. Step 6: Final answer
    x = 2,877.97

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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.