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Finding the Fourth Proportional to 2,281.80, 3,201 and 2,281.80

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Solution

The fourth proportional to 2,281.80, 3,201 and 2,281.80 is: 3,201

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.80 : 3,201 = 2,281.80 : x
  2. Step 2: Convert to fraction form
    2,281.80/3,201 = 2,281.80/x
  3. Step 3: Cross multiply
    2,281.80x = 3,201 × 2,281.80
  4. Step 4: Simplify right side
    2,281.80x = 7,304,041.80
  5. Step 5: Solve for x
    x = 7,304,041.80/2,281.80
  6. Step 6: Final answer
    x = 3,201

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.