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Finding the Fourth Proportional to 2,889.93, 3,988.71 and 1,827.02

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Solution

The fourth proportional to 2,889.93, 3,988.71 and 1,827.02 is: 2,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.93 : 3,988.71 = 1,827.02 : x
  2. Step 2: Convert to fraction form
    2,889.93/3,988.71 = 1,827.02/x
  3. Step 3: Cross multiply
    2,889.93x = 3,988.71 × 1,827.02
  4. Step 4: Simplify right side
    2,889.93x = 7,287,433.00
  5. Step 5: Solve for x
    x = 7,287,433.00/2,889.93
  6. Step 6: Final answer
    x = 2,521.66

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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.