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Finding the Fourth Proportional to 4,978.20, 7,468.14 and 2,054.90

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Solution

The fourth proportional to 4,978.20, 7,468.14 and 2,054.90 is: 3,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.20 : 7,468.14 = 2,054.90 : x
  2. Step 2: Convert to fraction form
    4,978.20/7,468.14 = 2,054.90/x
  3. Step 3: Cross multiply
    4,978.20x = 7,468.14 × 2,054.90
  4. Step 4: Simplify right side
    4,978.20x = 15,346,280.89
  5. Step 5: Solve for x
    x = 15,346,280.89/4,978.20
  6. Step 6: Final answer
    x = 3,082.70

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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.