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Finding the Fourth Proportional to 3,576.08, 5,363.50 and 978.40

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Solution

The fourth proportional to 3,576.08, 5,363.50 and 978.40 is: 1,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.08 : 5,363.50 = 978.40 : x
  2. Step 2: Convert to fraction form
    3,576.08/5,363.50 = 978.40/x
  3. Step 3: Cross multiply
    3,576.08x = 5,363.50 × 978.40
  4. Step 4: Simplify right side
    3,576.08x = 5,247,648.40
  5. Step 5: Solve for x
    x = 5,247,648.40/3,576.08
  6. Step 6: Final answer
    x = 1,467.43

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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.