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Finding the Fourth Proportional to 3,412.91, 5,119.70 and 914.06

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Solution

The fourth proportional to 3,412.91, 5,119.70 and 914.06 is: 1,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.91 : 5,119.70 = 914.06 : x
  2. Step 2: Convert to fraction form
    3,412.91/5,119.70 = 914.06/x
  3. Step 3: Cross multiply
    3,412.91x = 5,119.70 × 914.06
  4. Step 4: Simplify right side
    3,412.91x = 4,679,682.81
  5. Step 5: Solve for x
    x = 4,679,682.81/3,412.91
  6. Step 6: Final answer
    x = 1,371.17

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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.