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Finding the Fourth Proportional to 3,457.82, 5,188.23 and 1,813.97

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Solution

The fourth proportional to 3,457.82, 5,188.23 and 1,813.97 is: 2,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.82 : 5,188.23 = 1,813.97 : x
  2. Step 2: Convert to fraction form
    3,457.82/5,188.23 = 1,813.97/x
  3. Step 3: Cross multiply
    3,457.82x = 5,188.23 × 1,813.97
  4. Step 4: Simplify right side
    3,457.82x = 9,411,267.63
  5. Step 5: Solve for x
    x = 9,411,267.63/3,457.82
  6. Step 6: Final answer
    x = 2,721.74

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1.5x scale

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.