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Finding the Fourth Proportional to 13,107.86, 18,089.07 and 7,139.65

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Solution

The fourth proportional to 13,107.86, 18,089.07 and 7,139.65 is: 9,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.86 : 18,089.07 = 7,139.65 : x
  2. Step 2: Convert to fraction form
    13,107.86/18,089.07 = 7,139.65/x
  3. Step 3: Cross multiply
    13,107.86x = 18,089.07 × 7,139.65
  4. Step 4: Simplify right side
    13,107.86x = 129,149,628.63
  5. Step 5: Solve for x
    x = 129,149,628.63/13,107.86
  6. Step 6: Final answer
    x = 9,852.84

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1.5x scale

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.