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Finding the Fourth Proportional to 4,978.12, 7,468.62 and 2,054.92

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Solution

The fourth proportional to 4,978.12, 7,468.62 and 2,054.92 is: 3,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.12 : 7,468.62 = 2,054.92 : x
  2. Step 2: Convert to fraction form
    4,978.12/7,468.62 = 2,054.92/x
  3. Step 3: Cross multiply
    4,978.12x = 7,468.62 × 2,054.92
  4. Step 4: Simplify right side
    4,978.12x = 15,347,416.61
  5. Step 5: Solve for x
    x = 15,347,416.61/4,978.12
  6. Step 6: Final answer
    x = 3,082.97

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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.