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Finding the Fourth Proportional to 4,978.53, 7,468.16 and 2,511.99

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Solution

The fourth proportional to 4,978.53, 7,468.16 and 2,511.99 is: 3,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.53 : 7,468.16 = 2,511.99 : x
  2. Step 2: Convert to fraction form
    4,978.53/7,468.16 = 2,511.99/x
  3. Step 3: Cross multiply
    4,978.53x = 7,468.16 × 2,511.99
  4. Step 4: Simplify right side
    4,978.53x = 18,759,930.68
  5. Step 5: Solve for x
    x = 18,759,930.68/4,978.53
  6. Step 6: Final answer
    x = 3,768.17

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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.