Home / 3,678.21-5,075.36-2,106

Finding the Fourth Proportional to 3,678.21, 5,075.36 and 2,106

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Solution

The fourth proportional to 3,678.21, 5,075.36 and 2,106 is: 2,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.21 : 5,075.36 = 2,106 : x
  2. Step 2: Convert to fraction form
    3,678.21/5,075.36 = 2,106/x
  3. Step 3: Cross multiply
    3,678.21x = 5,075.36 × 2,106
  4. Step 4: Simplify right side
    3,678.21x = 10,688,705.53
  5. Step 5: Solve for x
    x = 10,688,705.53/3,678.21
  6. Step 6: Final answer
    x = 2,905.95

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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.