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Finding the Fourth Proportional to 4,784.88, 7,179.16 and 1,665.22

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Solution

The fourth proportional to 4,784.88, 7,179.16 and 1,665.22 is: 2,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.88 : 7,179.16 = 1,665.22 : x
  2. Step 2: Convert to fraction form
    4,784.88/7,179.16 = 1,665.22/x
  3. Step 3: Cross multiply
    4,784.88x = 7,179.16 × 1,665.22
  4. Step 4: Simplify right side
    4,784.88x = 11,954,880.82
  5. Step 5: Solve for x
    x = 11,954,880.82/4,784.88
  6. Step 6: Final answer
    x = 2,498.47

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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.