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Finding the Fourth Proportional to 4,978.14, 6,870.08 and 2,739.99

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Solution

The fourth proportional to 4,978.14, 6,870.08 and 2,739.99 is: 3,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.14 : 6,870.08 = 2,739.99 : x
  2. Step 2: Convert to fraction form
    4,978.14/6,870.08 = 2,739.99/x
  3. Step 3: Cross multiply
    4,978.14x = 6,870.08 × 2,739.99
  4. Step 4: Simplify right side
    4,978.14x = 18,823,983.11
  5. Step 5: Solve for x
    x = 18,823,983.11/4,978.14
  6. Step 6: Final answer
    x = 3,781.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.