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Finding the Fourth Proportional to 1,684.08, 2,325.15 and 1,506.48

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Solution

The fourth proportional to 1,684.08, 2,325.15 and 1,506.48 is: 2,079.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.08 : 2,325.15 = 1,506.48 : x
  2. Step 2: Convert to fraction form
    1,684.08/2,325.15 = 1,506.48/x
  3. Step 3: Cross multiply
    1,684.08x = 2,325.15 × 1,506.48
  4. Step 4: Simplify right side
    1,684.08x = 3,502,791.97
  5. Step 5: Solve for x
    x = 3,502,791.97/1,684.08
  6. Step 6: Final answer
    x = 2,079.94

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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.