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Finding the Fourth Proportional to 3,145.84, 4,718.76 and 1,412.44

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Solution

The fourth proportional to 3,145.84, 4,718.76 and 1,412.44 is: 2,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.84 : 4,718.76 = 1,412.44 : x
  2. Step 2: Convert to fraction form
    3,145.84/4,718.76 = 1,412.44/x
  3. Step 3: Cross multiply
    3,145.84x = 4,718.76 × 1,412.44
  4. Step 4: Simplify right side
    3,145.84x = 6,664,965.37
  5. Step 5: Solve for x
    x = 6,664,965.37/3,145.84
  6. Step 6: Final answer
    x = 2,118.66

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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.