Home / 2,971.40-4,457.30-780.12

Finding the Fourth Proportional to 2,971.40, 4,457.30 and 780.12

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Solution

The fourth proportional to 2,971.40, 4,457.30 and 780.12 is: 1,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.40 : 4,457.30 = 780.12 : x
  2. Step 2: Convert to fraction form
    2,971.40/4,457.30 = 780.12/x
  3. Step 3: Cross multiply
    2,971.40x = 4,457.30 × 780.12
  4. Step 4: Simplify right side
    2,971.40x = 3,477,224.98
  5. Step 5: Solve for x
    x = 3,477,224.98/2,971.40
  6. Step 6: Final answer
    x = 1,170.23

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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.