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Finding the Fourth Proportional to 2,281.92, 3,128.50 and 2,240.40

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Solution

The fourth proportional to 2,281.92, 3,128.50 and 2,240.40 is: 3,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.92 : 3,128.50 = 2,240.40 : x
  2. Step 2: Convert to fraction form
    2,281.92/3,128.50 = 2,240.40/x
  3. Step 3: Cross multiply
    2,281.92x = 3,128.50 × 2,240.40
  4. Step 4: Simplify right side
    2,281.92x = 7,009,091.40
  5. Step 5: Solve for x
    x = 7,009,091.40/2,281.92
  6. Step 6: Final answer
    x = 3,071.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.