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Finding the Fourth Proportional to 5,281, 7,287.78 and 3,185.32

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Solution

The fourth proportional to 5,281, 7,287.78 and 3,185.32 is: 4,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281 : 7,287.78 = 3,185.32 : x
  2. Step 2: Convert to fraction form
    5,281/7,287.78 = 3,185.32/x
  3. Step 3: Cross multiply
    5,281x = 7,287.78 × 3,185.32
  4. Step 4: Simplify right side
    5,281x = 23,213,911.39
  5. Step 5: Solve for x
    x = 23,213,911.39/5,281
  6. Step 6: Final answer
    x = 4,395.74

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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.