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Finding the Fourth Proportional to 1,415.48, 2,119.43 and 920.42

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Solution

The fourth proportional to 1,415.48, 2,119.43 and 920.42 is: 1,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.48 : 2,119.43 = 920.42 : x
  2. Step 2: Convert to fraction form
    1,415.48/2,119.43 = 920.42/x
  3. Step 3: Cross multiply
    1,415.48x = 2,119.43 × 920.42
  4. Step 4: Simplify right side
    1,415.48x = 1,950,760.11
  5. Step 5: Solve for x
    x = 1,950,760.11/1,415.48
  6. Step 6: Final answer
    x = 1,378.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.