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Finding the Fourth Proportional to 1,741.19, 2,611.00 and 816.00

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Solution

The fourth proportional to 1,741.19, 2,611.00 and 816.00 is: 1,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.19 : 2,611.00 = 816.00 : x
  2. Step 2: Convert to fraction form
    1,741.19/2,611.00 = 816.00/x
  3. Step 3: Cross multiply
    1,741.19x = 2,611.00 × 816.00
  4. Step 4: Simplify right side
    1,741.19x = 2,130,567.23
  5. Step 5: Solve for x
    x = 2,130,567.23/1,741.19
  6. Step 6: Final answer
    x = 1,223.63

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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.