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Finding the Fourth Proportional to 2,888.64, 4,333.32 and 1,427.76

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Solution

The fourth proportional to 2,888.64, 4,333.32 and 1,427.76 is: 2,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.64 : 4,333.32 = 1,427.76 : x
  2. Step 2: Convert to fraction form
    2,888.64/4,333.32 = 1,427.76/x
  3. Step 3: Cross multiply
    2,888.64x = 4,333.32 × 1,427.76
  4. Step 4: Simplify right side
    2,888.64x = 6,186,940.96
  5. Step 5: Solve for x
    x = 6,186,940.96/2,888.64
  6. Step 6: Final answer
    x = 2,141.82

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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.