Home / 4,098-6,146.94-1,905.50

Finding the Fourth Proportional to 4,098, 6,146.94 and 1,905.50

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Solution

The fourth proportional to 4,098, 6,146.94 and 1,905.50 is: 2,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 6,146.94 = 1,905.50 : x
  2. Step 2: Convert to fraction form
    4,098/6,146.94 = 1,905.50/x
  3. Step 3: Cross multiply
    4,098x = 6,146.94 × 1,905.50
  4. Step 4: Simplify right side
    4,098x = 11,712,994.17
  5. Step 5: Solve for x
    x = 11,712,994.17/4,098
  6. Step 6: Final answer
    x = 2,858.22

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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.