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Finding the Fourth Proportional to 4,978.44, 7,467.15 and 1,280.55

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Solution

The fourth proportional to 4,978.44, 7,467.15 and 1,280.55 is: 1,920.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.44 : 7,467.15 = 1,280.55 : x
  2. Step 2: Convert to fraction form
    4,978.44/7,467.15 = 1,280.55/x
  3. Step 3: Cross multiply
    4,978.44x = 7,467.15 × 1,280.55
  4. Step 4: Simplify right side
    4,978.44x = 9,562,058.93
  5. Step 5: Solve for x
    x = 9,562,058.93/4,978.44
  6. Step 6: Final answer
    x = 1,920.69

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1.5x scale

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.