Home / 1,542.14-2,126.86-982.63

Finding the Fourth Proportional to 1,542.14, 2,126.86 and 982.63

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Solution

The fourth proportional to 1,542.14, 2,126.86 and 982.63 is: 1,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.14 : 2,126.86 = 982.63 : x
  2. Step 2: Convert to fraction form
    1,542.14/2,126.86 = 982.63/x
  3. Step 3: Cross multiply
    1,542.14x = 2,126.86 × 982.63
  4. Step 4: Simplify right side
    1,542.14x = 2,089,916.64
  5. Step 5: Solve for x
    x = 2,089,916.64/1,542.14
  6. Step 6: Final answer
    x = 1,355.21

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1.5x scale

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.