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Finding the Fourth Proportional to 5,679, 7,838.06 and 5,429.93

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Solution

The fourth proportional to 5,679, 7,838.06 and 5,429.93 is: 7,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679 : 7,838.06 = 5,429.93 : x
  2. Step 2: Convert to fraction form
    5,679/7,838.06 = 5,429.93/x
  3. Step 3: Cross multiply
    5,679x = 7,838.06 × 5,429.93
  4. Step 4: Simplify right side
    5,679x = 42,560,050.80
  5. Step 5: Solve for x
    x = 42,560,050.80/5,679
  6. Step 6: Final answer
    x = 7,494.29

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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.