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Finding the Fourth Proportional to 10,840.38, 16,254.81 and 4,992

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Solution

The fourth proportional to 10,840.38, 16,254.81 and 4,992 is: 7,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.38 : 16,254.81 = 4,992 : x
  2. Step 2: Convert to fraction form
    10,840.38/16,254.81 = 4,992/x
  3. Step 3: Cross multiply
    10,840.38x = 16,254.81 × 4,992
  4. Step 4: Simplify right side
    10,840.38x = 81,144,011.52
  5. Step 5: Solve for x
    x = 81,144,011.52/10,840.38
  6. Step 6: Final answer
    x = 7,485.35

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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.