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Finding the Fourth Proportional to 9,919.68, 13,689.08 and 5,443.46

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Solution

The fourth proportional to 9,919.68, 13,689.08 and 5,443.46 is: 7,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.68 : 13,689.08 = 5,443.46 : x
  2. Step 2: Convert to fraction form
    9,919.68/13,689.08 = 5,443.46/x
  3. Step 3: Cross multiply
    9,919.68x = 13,689.08 × 5,443.46
  4. Step 4: Simplify right side
    9,919.68x = 74,515,959.42
  5. Step 5: Solve for x
    x = 74,515,959.42/9,919.68
  6. Step 6: Final answer
    x = 7,511.93

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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.