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Finding the Fourth Proportional to 4,565, 6,847.92 and 1,278.09

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Solution

The fourth proportional to 4,565, 6,847.92 and 1,278.09 is: 1,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565 : 6,847.92 = 1,278.09 : x
  2. Step 2: Convert to fraction form
    4,565/6,847.92 = 1,278.09/x
  3. Step 3: Cross multiply
    4,565x = 6,847.92 × 1,278.09
  4. Step 4: Simplify right side
    4,565x = 8,752,258.07
  5. Step 5: Solve for x
    x = 8,752,258.07/4,565
  6. Step 6: Final answer
    x = 1,917.25

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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.