Home / 2,821.43-4,231.24-972.10

Finding the Fourth Proportional to 2,821.43, 4,231.24 and 972.10

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Solution

The fourth proportional to 2,821.43, 4,231.24 and 972.10 is: 1,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.43 : 4,231.24 = 972.10 : x
  2. Step 2: Convert to fraction form
    2,821.43/4,231.24 = 972.10/x
  3. Step 3: Cross multiply
    2,821.43x = 4,231.24 × 972.10
  4. Step 4: Simplify right side
    2,821.43x = 4,113,191.26
  5. Step 5: Solve for x
    x = 4,113,191.26/2,821.43
  6. Step 6: Final answer
    x = 1,457.84

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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.