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Finding the Fourth Proportional to 5,365.50, 8,051.49 and 2,287.50

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Solution

The fourth proportional to 5,365.50, 8,051.49 and 2,287.50 is: 3,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.50 : 8,051.49 = 2,287.50 : x
  2. Step 2: Convert to fraction form
    5,365.50/8,051.49 = 2,287.50/x
  3. Step 3: Cross multiply
    5,365.50x = 8,051.49 × 2,287.50
  4. Step 4: Simplify right side
    5,365.50x = 18,417,783.38
  5. Step 5: Solve for x
    x = 18,417,783.38/5,365.50
  6. Step 6: Final answer
    x = 3,432.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.