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Finding the Fourth Proportional to 1,283.67, 1,923.64 and 1,097.48

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Solution

The fourth proportional to 1,283.67, 1,923.64 and 1,097.48 is: 1,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.67 : 1,923.64 = 1,097.48 : x
  2. Step 2: Convert to fraction form
    1,283.67/1,923.64 = 1,097.48/x
  3. Step 3: Cross multiply
    1,283.67x = 1,923.64 × 1,097.48
  4. Step 4: Simplify right side
    1,283.67x = 2,111,158.49
  5. Step 5: Solve for x
    x = 2,111,158.49/1,283.67
  6. Step 6: Final answer
    x = 1,644.63

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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.