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Finding the Fourth Proportional to 3,145.19, 4,717.77 and 805.19

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Solution

The fourth proportional to 3,145.19, 4,717.77 and 805.19 is: 1,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.19 : 4,717.77 = 805.19 : x
  2. Step 2: Convert to fraction form
    3,145.19/4,717.77 = 805.19/x
  3. Step 3: Cross multiply
    3,145.19x = 4,717.77 × 805.19
  4. Step 4: Simplify right side
    3,145.19x = 3,798,701.23
  5. Step 5: Solve for x
    x = 3,798,701.23/3,145.19
  6. Step 6: Final answer
    x = 1,207.78

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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.