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Finding the Fourth Proportional to 5,051, 6,970.40 and 2,843

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Solution

The fourth proportional to 5,051, 6,970.40 and 2,843 is: 3,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051 : 6,970.40 = 2,843 : x
  2. Step 2: Convert to fraction form
    5,051/6,970.40 = 2,843/x
  3. Step 3: Cross multiply
    5,051x = 6,970.40 × 2,843
  4. Step 4: Simplify right side
    5,051x = 19,816,847.20
  5. Step 5: Solve for x
    x = 19,816,847.20/5,051
  6. Step 6: Final answer
    x = 3,923.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.