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Finding the Fourth Proportional to 10,881.78, 16,323.30 and 3,090

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Solution

The fourth proportional to 10,881.78, 16,323.30 and 3,090 is: 4,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.78 : 16,323.30 = 3,090 : x
  2. Step 2: Convert to fraction form
    10,881.78/16,323.30 = 3,090/x
  3. Step 3: Cross multiply
    10,881.78x = 16,323.30 × 3,090
  4. Step 4: Simplify right side
    10,881.78x = 50,438,997
  5. Step 5: Solve for x
    x = 50,438,997/10,881.78
  6. Step 6: Final answer
    x = 4,635.18

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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.