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Finding the Fourth Proportional to 3,204.51, 4,420.62 and 1,878

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Solution

The fourth proportional to 3,204.51, 4,420.62 and 1,878 is: 2,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.51 : 4,420.62 = 1,878 : x
  2. Step 2: Convert to fraction form
    3,204.51/4,420.62 = 1,878/x
  3. Step 3: Cross multiply
    3,204.51x = 4,420.62 × 1,878
  4. Step 4: Simplify right side
    3,204.51x = 8,301,924.36
  5. Step 5: Solve for x
    x = 8,301,924.36/3,204.51
  6. Step 6: Final answer
    x = 2,590.70

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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.