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Finding the Fourth Proportional to 2,971, 4,457.94 and 1,995.18

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Solution

The fourth proportional to 2,971, 4,457.94 and 1,995.18 is: 2,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971 : 4,457.94 = 1,995.18 : x
  2. Step 2: Convert to fraction form
    2,971/4,457.94 = 1,995.18/x
  3. Step 3: Cross multiply
    2,971x = 4,457.94 × 1,995.18
  4. Step 4: Simplify right side
    2,971x = 8,894,392.73
  5. Step 5: Solve for x
    x = 8,894,392.73/2,971
  6. Step 6: Final answer
    x = 2,993.74

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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.