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Finding the Fourth Proportional to 3,457.65, 4,771.14 and 1,965.15

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Solution

The fourth proportional to 3,457.65, 4,771.14 and 1,965.15 is: 2,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.65 : 4,771.14 = 1,965.15 : x
  2. Step 2: Convert to fraction form
    3,457.65/4,771.14 = 1,965.15/x
  3. Step 3: Cross multiply
    3,457.65x = 4,771.14 × 1,965.15
  4. Step 4: Simplify right side
    3,457.65x = 9,375,998.40
  5. Step 5: Solve for x
    x = 9,375,998.40/3,457.65
  6. Step 6: Final answer
    x = 2,711.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.