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Finding the Fourth Proportional to 1,684, 2,324.14 and 1,021.10

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Solution

The fourth proportional to 1,684, 2,324.14 and 1,021.10 is: 1,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684 : 2,324.14 = 1,021.10 : x
  2. Step 2: Convert to fraction form
    1,684/2,324.14 = 1,021.10/x
  3. Step 3: Cross multiply
    1,684x = 2,324.14 × 1,021.10
  4. Step 4: Simplify right side
    1,684x = 2,373,179.35
  5. Step 5: Solve for x
    x = 2,373,179.35/1,684
  6. Step 6: Final answer
    x = 1,409.25

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Why These Related Problems?

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