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Finding the Fourth Proportional to 1,415.46, 1,952.74 and 1,021.62

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Solution

The fourth proportional to 1,415.46, 1,952.74 and 1,021.62 is: 1,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.46 : 1,952.74 = 1,021.62 : x
  2. Step 2: Convert to fraction form
    1,415.46/1,952.74 = 1,021.62/x
  3. Step 3: Cross multiply
    1,415.46x = 1,952.74 × 1,021.62
  4. Step 4: Simplify right side
    1,415.46x = 1,994,958.24
  5. Step 5: Solve for x
    x = 1,994,958.24/1,415.46
  6. Step 6: Final answer
    x = 1,409.41

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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.