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Finding the Fourth Proportional to 1,741.30, 2,611.18 and 817.18

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Solution

The fourth proportional to 1,741.30, 2,611.18 and 817.18 is: 1,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.30 : 2,611.18 = 817.18 : x
  2. Step 2: Convert to fraction form
    1,741.30/2,611.18 = 817.18/x
  3. Step 3: Cross multiply
    1,741.30x = 2,611.18 × 817.18
  4. Step 4: Simplify right side
    1,741.30x = 2,133,804.07
  5. Step 5: Solve for x
    x = 2,133,804.07/1,741.30
  6. Step 6: Final answer
    x = 1,225.41

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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.