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Finding the Fourth Proportional to 1,928.54, 2,890.28 and 888.40

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Solution

The fourth proportional to 1,928.54, 2,890.28 and 888.40 is: 1,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.54 : 2,890.28 = 888.40 : x
  2. Step 2: Convert to fraction form
    1,928.54/2,890.28 = 888.40/x
  3. Step 3: Cross multiply
    1,928.54x = 2,890.28 × 888.40
  4. Step 4: Simplify right side
    1,928.54x = 2,567,730.59
  5. Step 5: Solve for x
    x = 2,567,730.59/1,928.54
  6. Step 6: Final answer
    x = 1,331.44

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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.