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Finding the Fourth Proportional to 2,683.83, 3,703.91 and 1,505.13

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Solution

The fourth proportional to 2,683.83, 3,703.91 and 1,505.13 is: 2,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.83 : 3,703.91 = 1,505.13 : x
  2. Step 2: Convert to fraction form
    2,683.83/3,703.91 = 1,505.13/x
  3. Step 3: Cross multiply
    2,683.83x = 3,703.91 × 1,505.13
  4. Step 4: Simplify right side
    2,683.83x = 5,574,855.93
  5. Step 5: Solve for x
    x = 5,574,855.93/2,683.83
  6. Step 6: Final answer
    x = 2,077.20

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