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Finding the Fourth Proportional to 1,416.08, 2,119.72 and 765.20

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Solution

The fourth proportional to 1,416.08, 2,119.72 and 765.20 is: 1,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.08 : 2,119.72 = 765.20 : x
  2. Step 2: Convert to fraction form
    1,416.08/2,119.72 = 765.20/x
  3. Step 3: Cross multiply
    1,416.08x = 2,119.72 × 765.20
  4. Step 4: Simplify right side
    1,416.08x = 1,622,009.74
  5. Step 5: Solve for x
    x = 1,622,009.74/1,416.08
  6. Step 6: Final answer
    x = 1,145.42

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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.