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Finding the Fourth Proportional to 2,978.85, 4,468.32 and 2,054.16

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Solution

The fourth proportional to 2,978.85, 4,468.32 and 2,054.16 is: 3,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.85 : 4,468.32 = 2,054.16 : x
  2. Step 2: Convert to fraction form
    2,978.85/4,468.32 = 2,054.16/x
  3. Step 3: Cross multiply
    2,978.85x = 4,468.32 × 2,054.16
  4. Step 4: Simplify right side
    2,978.85x = 9,178,644.21
  5. Step 5: Solve for x
    x = 9,178,644.21/2,978.85
  6. Step 6: Final answer
    x = 3,081.27

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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.