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Finding the Fourth Proportional to 9,919.80, 13,689.22 and 5,443.48

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Solution

The fourth proportional to 9,919.80, 13,689.22 and 5,443.48 is: 7,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.80 : 13,689.22 = 5,443.48 : x
  2. Step 2: Convert to fraction form
    9,919.80/13,689.22 = 5,443.48/x
  3. Step 3: Cross multiply
    9,919.80x = 13,689.22 × 5,443.48
  4. Step 4: Simplify right side
    9,919.80x = 74,516,995.29
  5. Step 5: Solve for x
    x = 74,516,995.29/9,919.80
  6. Step 6: Final answer
    x = 7,511.95

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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.