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Finding the Fourth Proportional to 3,059.70, 4,587.30 and 978.50

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Solution

The fourth proportional to 3,059.70, 4,587.30 and 978.50 is: 1,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.70 : 4,587.30 = 978.50 : x
  2. Step 2: Convert to fraction form
    3,059.70/4,587.30 = 978.50/x
  3. Step 3: Cross multiply
    3,059.70x = 4,587.30 × 978.50
  4. Step 4: Simplify right side
    3,059.70x = 4,488,684.52
  5. Step 5: Solve for x
    x = 4,488,684.52/3,059.70
  6. Step 6: Final answer
    x = 1,467.03

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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.