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Finding the Fourth Proportional to 4,978.69, 7,468.03 and 1,515.94

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Solution

The fourth proportional to 4,978.69, 7,468.03 and 1,515.94 is: 2,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.69 : 7,468.03 = 1,515.94 : x
  2. Step 2: Convert to fraction form
    4,978.69/7,468.03 = 1,515.94/x
  3. Step 3: Cross multiply
    4,978.69x = 7,468.03 × 1,515.94
  4. Step 4: Simplify right side
    4,978.69x = 11,321,068.62
  5. Step 5: Solve for x
    x = 11,321,068.62/4,978.69
  6. Step 6: Final answer
    x = 2,273.91

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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.