Home / 1,552.60-2,142.78-923.44

Finding the Fourth Proportional to 1,552.60, 2,142.78 and 923.44

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Solution

The fourth proportional to 1,552.60, 2,142.78 and 923.44 is: 1,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.60 : 2,142.78 = 923.44 : x
  2. Step 2: Convert to fraction form
    1,552.60/2,142.78 = 923.44/x
  3. Step 3: Cross multiply
    1,552.60x = 2,142.78 × 923.44
  4. Step 4: Simplify right side
    1,552.60x = 1,978,728.76
  5. Step 5: Solve for x
    x = 1,978,728.76/1,552.60
  6. Step 6: Final answer
    x = 1,274.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.