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Finding the Fourth Proportional to 1,411.54, 2,115.77 and 795.08

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Solution

The fourth proportional to 1,411.54, 2,115.77 and 795.08 is: 1,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.54 : 2,115.77 = 795.08 : x
  2. Step 2: Convert to fraction form
    1,411.54/2,115.77 = 795.08/x
  3. Step 3: Cross multiply
    1,411.54x = 2,115.77 × 795.08
  4. Step 4: Simplify right side
    1,411.54x = 1,682,213.69
  5. Step 5: Solve for x
    x = 1,682,213.69/1,411.54
  6. Step 6: Final answer
    x = 1,191.76

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1.5x scale

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.