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Finding the Fourth Proportional to 2,865.45, 4,298.62 and 1,222

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Solution

The fourth proportional to 2,865.45, 4,298.62 and 1,222 is: 1,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.45 : 4,298.62 = 1,222 : x
  2. Step 2: Convert to fraction form
    2,865.45/4,298.62 = 1,222/x
  3. Step 3: Cross multiply
    2,865.45x = 4,298.62 × 1,222
  4. Step 4: Simplify right side
    2,865.45x = 5,252,913.64
  5. Step 5: Solve for x
    x = 5,252,913.64/2,865.45
  6. Step 6: Final answer
    x = 1,833.19

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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.