Home / 2,971.61-4,457.32-1,412.74

Finding the Fourth Proportional to 2,971.61, 4,457.32 and 1,412.74

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Solution

The fourth proportional to 2,971.61, 4,457.32 and 1,412.74 is: 2,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.61 : 4,457.32 = 1,412.74 : x
  2. Step 2: Convert to fraction form
    2,971.61/4,457.32 = 1,412.74/x
  3. Step 3: Cross multiply
    2,971.61x = 4,457.32 × 1,412.74
  4. Step 4: Simplify right side
    2,971.61x = 6,297,011.97
  5. Step 5: Solve for x
    x = 6,297,011.97/2,971.61
  6. Step 6: Final answer
    x = 2,119.06

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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.