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Finding the Fourth Proportional to 2,358, 3,244.44 and 2,163.60

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Solution

The fourth proportional to 2,358, 3,244.44 and 2,163.60 is: 2,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358 : 3,244.44 = 2,163.60 : x
  2. Step 2: Convert to fraction form
    2,358/3,244.44 = 2,163.60/x
  3. Step 3: Cross multiply
    2,358x = 3,244.44 × 2,163.60
  4. Step 4: Simplify right side
    2,358x = 7,019,670.38
  5. Step 5: Solve for x
    x = 7,019,670.38/2,358
  6. Step 6: Final answer
    x = 2,976.96

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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.