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Finding the Fourth Proportional to 9,291, 13,928.29 and 7,109.46

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Solution

The fourth proportional to 9,291, 13,928.29 and 7,109.46 is: 10,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291 : 13,928.29 = 7,109.46 : x
  2. Step 2: Convert to fraction form
    9,291/13,928.29 = 7,109.46/x
  3. Step 3: Cross multiply
    9,291x = 13,928.29 × 7,109.46
  4. Step 4: Simplify right side
    9,291x = 99,022,620.62
  5. Step 5: Solve for x
    x = 99,022,620.62/9,291
  6. Step 6: Final answer
    x = 10,657.91

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1.5x scale

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.