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Finding the Fourth Proportional to 4,719, 6,509 and 2,829.28

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Solution

The fourth proportional to 4,719, 6,509 and 2,829.28 is: 3,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719 : 6,509 = 2,829.28 : x
  2. Step 2: Convert to fraction form
    4,719/6,509 = 2,829.28/x
  3. Step 3: Cross multiply
    4,719x = 6,509 × 2,829.28
  4. Step 4: Simplify right side
    4,719x = 18,415,783.52
  5. Step 5: Solve for x
    x = 18,415,783.52/4,719
  6. Step 6: Final answer
    x = 3,902.48

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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.