Home / 2,231.02-3,347.10-692.02

Finding the Fourth Proportional to 2,231.02, 3,347.10 and 692.02

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Solution

The fourth proportional to 2,231.02, 3,347.10 and 692.02 is: 1,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.02 : 3,347.10 = 692.02 : x
  2. Step 2: Convert to fraction form
    2,231.02/3,347.10 = 692.02/x
  3. Step 3: Cross multiply
    2,231.02x = 3,347.10 × 692.02
  4. Step 4: Simplify right side
    2,231.02x = 2,316,260.14
  5. Step 5: Solve for x
    x = 2,316,260.14/2,231.02
  6. Step 6: Final answer
    x = 1,038.21

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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.