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Finding the Fourth Proportional to 9,892.78, 14,810.34 and 5,201.66

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Solution

The fourth proportional to 9,892.78, 14,810.34 and 5,201.66 is: 7,787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.78 : 14,810.34 = 5,201.66 : x
  2. Step 2: Convert to fraction form
    9,892.78/14,810.34 = 5,201.66/x
  3. Step 3: Cross multiply
    9,892.78x = 14,810.34 × 5,201.66
  4. Step 4: Simplify right side
    9,892.78x = 77,038,353.16
  5. Step 5: Solve for x
    x = 77,038,353.16/9,892.78
  6. Step 6: Final answer
    x = 7,787.33

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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.