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Finding the Fourth Proportional to 13,471.54, 18,594 and 7,805.39

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Solution

The fourth proportional to 13,471.54, 18,594 and 7,805.39 is: 10,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.54 : 18,594 = 7,805.39 : x
  2. Step 2: Convert to fraction form
    13,471.54/18,594 = 7,805.39/x
  3. Step 3: Cross multiply
    13,471.54x = 18,594 × 7,805.39
  4. Step 4: Simplify right side
    13,471.54x = 145,133,328.69
  5. Step 5: Solve for x
    x = 145,133,328.69/13,471.54
  6. Step 6: Final answer
    x = 10,773.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.