Home / 2,971.26-4,456.56-780.24

Finding the Fourth Proportional to 2,971.26, 4,456.56 and 780.24

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Solution

The fourth proportional to 2,971.26, 4,456.56 and 780.24 is: 1,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.26 : 4,456.56 = 780.24 : x
  2. Step 2: Convert to fraction form
    2,971.26/4,456.56 = 780.24/x
  3. Step 3: Cross multiply
    2,971.26x = 4,456.56 × 780.24
  4. Step 4: Simplify right side
    2,971.26x = 3,477,186.37
  5. Step 5: Solve for x
    x = 3,477,186.37/2,971.26
  6. Step 6: Final answer
    x = 1,170.27

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1.5x scale

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.