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Finding the Fourth Proportional to 13,106, 18,086.01 and 7,137.77

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Solution

The fourth proportional to 13,106, 18,086.01 and 7,137.77 is: 9,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106 : 18,086.01 = 7,137.77 : x
  2. Step 2: Convert to fraction form
    13,106/18,086.01 = 7,137.77/x
  3. Step 3: Cross multiply
    13,106x = 18,086.01 × 7,137.77
  4. Step 4: Simplify right side
    13,106x = 129,093,779.60
  5. Step 5: Solve for x
    x = 129,093,779.60/13,106
  6. Step 6: Final answer
    x = 9,849.98

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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.