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Finding the Fourth Proportional to 2,978.23, 4,467.54 and 1,516.99

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Solution

The fourth proportional to 2,978.23, 4,467.54 and 1,516.99 is: 2,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.23 : 4,467.54 = 1,516.99 : x
  2. Step 2: Convert to fraction form
    2,978.23/4,467.54 = 1,516.99/x
  3. Step 3: Cross multiply
    2,978.23x = 4,467.54 × 1,516.99
  4. Step 4: Simplify right side
    2,978.23x = 6,777,213.50
  5. Step 5: Solve for x
    x = 6,777,213.50/2,978.23
  6. Step 6: Final answer
    x = 2,275.58

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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.