Home / 1,977.56-2,968.13-1,053.90

Finding the Fourth Proportional to 1,977.56, 2,968.13 and 1,053.90

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Solution

The fourth proportional to 1,977.56, 2,968.13 and 1,053.90 is: 1,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.56 : 2,968.13 = 1,053.90 : x
  2. Step 2: Convert to fraction form
    1,977.56/2,968.13 = 1,053.90/x
  3. Step 3: Cross multiply
    1,977.56x = 2,968.13 × 1,053.90
  4. Step 4: Simplify right side
    1,977.56x = 3,128,112.21
  5. Step 5: Solve for x
    x = 3,128,112.21/1,977.56
  6. Step 6: Final answer
    x = 1,581.80

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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.