Home / 1,782.14-2,457.74-1,193.47

Finding the Fourth Proportional to 1,782.14, 2,457.74 and 1,193.47

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Solution

The fourth proportional to 1,782.14, 2,457.74 and 1,193.47 is: 1,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.14 : 2,457.74 = 1,193.47 : x
  2. Step 2: Convert to fraction form
    1,782.14/2,457.74 = 1,193.47/x
  3. Step 3: Cross multiply
    1,782.14x = 2,457.74 × 1,193.47
  4. Step 4: Simplify right side
    1,782.14x = 2,933,235.80
  5. Step 5: Solve for x
    x = 2,933,235.80/1,782.14
  6. Step 6: Final answer
    x = 1,645.91

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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.