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Finding the Fourth Proportional to 5,135, 7,702.86 and 2,057

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Solution

The fourth proportional to 5,135, 7,702.86 and 2,057 is: 3,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135 : 7,702.86 = 2,057 : x
  2. Step 2: Convert to fraction form
    5,135/7,702.86 = 2,057/x
  3. Step 3: Cross multiply
    5,135x = 7,702.86 × 2,057
  4. Step 4: Simplify right side
    5,135x = 15,844,783.02
  5. Step 5: Solve for x
    x = 15,844,783.02/5,135
  6. Step 6: Final answer
    x = 3,085.64

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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.