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Finding the Fourth Proportional to 9,841.80, 13,571.28 and 7,319.88

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Solution

The fourth proportional to 9,841.80, 13,571.28 and 7,319.88 is: 10,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.80 : 13,571.28 = 7,319.88 : x
  2. Step 2: Convert to fraction form
    9,841.80/13,571.28 = 7,319.88/x
  3. Step 3: Cross multiply
    9,841.80x = 13,571.28 × 7,319.88
  4. Step 4: Simplify right side
    9,841.80x = 99,340,141.05
  5. Step 5: Solve for x
    x = 99,340,141.05/9,841.80
  6. Step 6: Final answer
    x = 10,093.70

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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.