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Finding the Fourth Proportional to 4,978.09, 7,467.54 and 1,515.34

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Solution

The fourth proportional to 4,978.09, 7,467.54 and 1,515.34 is: 2,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.09 : 7,467.54 = 1,515.34 : x
  2. Step 2: Convert to fraction form
    4,978.09/7,467.54 = 1,515.34/x
  3. Step 3: Cross multiply
    4,978.09x = 7,467.54 × 1,515.34
  4. Step 4: Simplify right side
    4,978.09x = 11,315,862.06
  5. Step 5: Solve for x
    x = 11,315,862.06/4,978.09
  6. Step 6: Final answer
    x = 2,273.13

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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.