Home / 1,374.14-2,056.40-984.57

Finding the Fourth Proportional to 1,374.14, 2,056.40 and 984.57

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Solution

The fourth proportional to 1,374.14, 2,056.40 and 984.57 is: 1,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.14 : 2,056.40 = 984.57 : x
  2. Step 2: Convert to fraction form
    1,374.14/2,056.40 = 984.57/x
  3. Step 3: Cross multiply
    1,374.14x = 2,056.40 × 984.57
  4. Step 4: Simplify right side
    1,374.14x = 2,024,664.83
  5. Step 5: Solve for x
    x = 2,024,664.83/1,374.14
  6. Step 6: Final answer
    x = 1,473.41

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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.