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Finding the Fourth Proportional to 1,415.20, 1,950.92 and 1,021.60

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Solution

The fourth proportional to 1,415.20, 1,950.92 and 1,021.60 is: 1,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.20 : 1,950.92 = 1,021.60 : x
  2. Step 2: Convert to fraction form
    1,415.20/1,950.92 = 1,021.60/x
  3. Step 3: Cross multiply
    1,415.20x = 1,950.92 × 1,021.60
  4. Step 4: Simplify right side
    1,415.20x = 1,993,059.87
  5. Step 5: Solve for x
    x = 1,993,059.87/1,415.20
  6. Step 6: Final answer
    x = 1,408.32

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1.5x scale

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.