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Finding the Fourth Proportional to 4,411, 6,616.50 and 1,979

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Solution

The fourth proportional to 4,411, 6,616.50 and 1,979 is: 2,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411 : 6,616.50 = 1,979 : x
  2. Step 2: Convert to fraction form
    4,411/6,616.50 = 1,979/x
  3. Step 3: Cross multiply
    4,411x = 6,616.50 × 1,979
  4. Step 4: Simplify right side
    4,411x = 13,094,053.50
  5. Step 5: Solve for x
    x = 13,094,053.50/4,411
  6. Step 6: Final answer
    x = 2,968.50

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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.