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Finding the Fourth Proportional to 2,283.60, 3,425.40 and 2,243.10

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Solution

The fourth proportional to 2,283.60, 3,425.40 and 2,243.10 is: 3,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.60 : 3,425.40 = 2,243.10 : x
  2. Step 2: Convert to fraction form
    2,283.60/3,425.40 = 2,243.10/x
  3. Step 3: Cross multiply
    2,283.60x = 3,425.40 × 2,243.10
  4. Step 4: Simplify right side
    2,283.60x = 7,683,514.74
  5. Step 5: Solve for x
    x = 7,683,514.74/2,283.60
  6. Step 6: Final answer
    x = 3,364.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.