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Finding the Fourth Proportional to 1,684, 2,514.95 and 1,453.36

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Solution

The fourth proportional to 1,684, 2,514.95 and 1,453.36 is: 2,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684 : 2,514.95 = 1,453.36 : x
  2. Step 2: Convert to fraction form
    1,684/2,514.95 = 1,453.36/x
  3. Step 3: Cross multiply
    1,684x = 2,514.95 × 1,453.36
  4. Step 4: Simplify right side
    1,684x = 3,655,127.73
  5. Step 5: Solve for x
    x = 3,655,127.73/1,684
  6. Step 6: Final answer
    x = 2,170.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.