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Finding the Fourth Proportional to 3,077, 4,615.50 and 1,025

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Solution

The fourth proportional to 3,077, 4,615.50 and 1,025 is: 1,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077 : 4,615.50 = 1,025 : x
  2. Step 2: Convert to fraction form
    3,077/4,615.50 = 1,025/x
  3. Step 3: Cross multiply
    3,077x = 4,615.50 × 1,025
  4. Step 4: Simplify right side
    3,077x = 4,730,887.50
  5. Step 5: Solve for x
    x = 4,730,887.50/3,077
  6. Step 6: Final answer
    x = 1,537.50

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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.