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Finding the Fourth Proportional to 9,883.38, 13,644 and 5,690.82

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Solution

The fourth proportional to 9,883.38, 13,644 and 5,690.82 is: 7,856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.38 : 13,644 = 5,690.82 : x
  2. Step 2: Convert to fraction form
    9,883.38/13,644 = 5,690.82/x
  3. Step 3: Cross multiply
    9,883.38x = 13,644 × 5,690.82
  4. Step 4: Simplify right side
    9,883.38x = 77,645,548.08
  5. Step 5: Solve for x
    x = 77,645,548.08/9,883.38
  6. Step 6: Final answer
    x = 7,856.17

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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.