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Finding the Fourth Proportional to 2,888.61, 4,333.38 and 1,427.77

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Solution

The fourth proportional to 2,888.61, 4,333.38 and 1,427.77 is: 2,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.61 : 4,333.38 = 1,427.77 : x
  2. Step 2: Convert to fraction form
    2,888.61/4,333.38 = 1,427.77/x
  3. Step 3: Cross multiply
    2,888.61x = 4,333.38 × 1,427.77
  4. Step 4: Simplify right side
    2,888.61x = 6,187,069.96
  5. Step 5: Solve for x
    x = 6,187,069.96/2,888.61
  6. Step 6: Final answer
    x = 2,141.88

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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.