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Finding the Fourth Proportional to 10,762.73, 16,128.49 and 7,648.90

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Solution

The fourth proportional to 10,762.73, 16,128.49 and 7,648.90 is: 11,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.73 : 16,128.49 = 7,648.90 : x
  2. Step 2: Convert to fraction form
    10,762.73/16,128.49 = 7,648.90/x
  3. Step 3: Cross multiply
    10,762.73x = 16,128.49 × 7,648.90
  4. Step 4: Simplify right side
    10,762.73x = 123,365,207.16
  5. Step 5: Solve for x
    x = 123,365,207.16/10,762.73
  6. Step 6: Final answer
    x = 11,462.26

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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.