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Finding the Fourth Proportional to 4,719, 7,078.56 and 1,641

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Solution

The fourth proportional to 4,719, 7,078.56 and 1,641 is: 2,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719 : 7,078.56 = 1,641 : x
  2. Step 2: Convert to fraction form
    4,719/7,078.56 = 1,641/x
  3. Step 3: Cross multiply
    4,719x = 7,078.56 × 1,641
  4. Step 4: Simplify right side
    4,719x = 11,615,916.96
  5. Step 5: Solve for x
    x = 11,615,916.96/4,719
  6. Step 6: Final answer
    x = 2,461.52

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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.