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Finding the Fourth Proportional to 2,866.51, 4,300.67 and 1,989.87

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Solution

The fourth proportional to 2,866.51, 4,300.67 and 1,989.87 is: 2,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.51 : 4,300.67 = 1,989.87 : x
  2. Step 2: Convert to fraction form
    2,866.51/4,300.67 = 1,989.87/x
  3. Step 3: Cross multiply
    2,866.51x = 4,300.67 × 1,989.87
  4. Step 4: Simplify right side
    2,866.51x = 8,557,774.21
  5. Step 5: Solve for x
    x = 8,557,774.21/2,866.51
  6. Step 6: Final answer
    x = 2,985.43

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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.