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Finding the Fourth Proportional to 5,336, 7,363.88 and 2,978.60

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Solution

The fourth proportional to 5,336, 7,363.88 and 2,978.60 is: 4,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336 : 7,363.88 = 2,978.60 : x
  2. Step 2: Convert to fraction form
    5,336/7,363.88 = 2,978.60/x
  3. Step 3: Cross multiply
    5,336x = 7,363.88 × 2,978.60
  4. Step 4: Simplify right side
    5,336x = 21,934,052.97
  5. Step 5: Solve for x
    x = 21,934,052.97/5,336
  6. Step 6: Final answer
    x = 4,110.58

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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.