Home / 2,971.86-4,457.43-780.75

Finding the Fourth Proportional to 2,971.86, 4,457.43 and 780.75

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Solution

The fourth proportional to 2,971.86, 4,457.43 and 780.75 is: 1,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.86 : 4,457.43 = 780.75 : x
  2. Step 2: Convert to fraction form
    2,971.86/4,457.43 = 780.75/x
  3. Step 3: Cross multiply
    2,971.86x = 4,457.43 × 780.75
  4. Step 4: Simplify right side
    2,971.86x = 3,480,138.47
  5. Step 5: Solve for x
    x = 3,480,138.47/2,971.86
  6. Step 6: Final answer
    x = 1,171.03

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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.