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Finding the Fourth Proportional to 2,928.70, 4,390.08 and 979.30

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Solution

The fourth proportional to 2,928.70, 4,390.08 and 979.30 is: 1,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.70 : 4,390.08 = 979.30 : x
  2. Step 2: Convert to fraction form
    2,928.70/4,390.08 = 979.30/x
  3. Step 3: Cross multiply
    2,928.70x = 4,390.08 × 979.30
  4. Step 4: Simplify right side
    2,928.70x = 4,299,205.34
  5. Step 5: Solve for x
    x = 4,299,205.34/2,928.70
  6. Step 6: Final answer
    x = 1,467.96

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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.