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Finding the Fourth Proportional to 2,613.65, 3,922.00 and 971.35

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Solution

The fourth proportional to 2,613.65, 3,922.00 and 971.35 is: 1,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.65 : 3,922.00 = 971.35 : x
  2. Step 2: Convert to fraction form
    2,613.65/3,922.00 = 971.35/x
  3. Step 3: Cross multiply
    2,613.65x = 3,922.00 × 971.35
  4. Step 4: Simplify right side
    2,613.65x = 3,809,622.47
  5. Step 5: Solve for x
    x = 3,809,622.47/2,613.65
  6. Step 6: Final answer
    x = 1,457.59

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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.