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Finding the Fourth Proportional to 2,774.70, 4,162.91 and 971.68

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Solution

The fourth proportional to 2,774.70, 4,162.91 and 971.68 is: 1,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.70 : 4,162.91 = 971.68 : x
  2. Step 2: Convert to fraction form
    2,774.70/4,162.91 = 971.68/x
  3. Step 3: Cross multiply
    2,774.70x = 4,162.91 × 971.68
  4. Step 4: Simplify right side
    2,774.70x = 4,045,005.98
  5. Step 5: Solve for x
    x = 4,045,005.98/2,774.70
  6. Step 6: Final answer
    x = 1,457.82

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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.