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Finding the Fourth Proportional to 13,055.95, 18,009 and 7,747

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Solution

The fourth proportional to 13,055.95, 18,009 and 7,747 is: 10,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055.95 : 18,009 = 7,747 : x
  2. Step 2: Convert to fraction form
    13,055.95/18,009 = 7,747/x
  3. Step 3: Cross multiply
    13,055.95x = 18,009 × 7,747
  4. Step 4: Simplify right side
    13,055.95x = 139,515,723
  5. Step 5: Solve for x
    x = 139,515,723/13,055.95
  6. Step 6: Final answer
    x = 10,685.99

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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.