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Finding the Fourth Proportional to 4,757.93, 7,138.95 and 1,985.15

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Solution

The fourth proportional to 4,757.93, 7,138.95 and 1,985.15 is: 2,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.93 : 7,138.95 = 1,985.15 : x
  2. Step 2: Convert to fraction form
    4,757.93/7,138.95 = 1,985.15/x
  3. Step 3: Cross multiply
    4,757.93x = 7,138.95 × 1,985.15
  4. Step 4: Simplify right side
    4,757.93x = 14,171,904.44
  5. Step 5: Solve for x
    x = 14,171,904.44/4,757.93
  6. Step 6: Final answer
    x = 2,978.58

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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.