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Finding the Fourth Proportional to 7,448.70, 11,173.04 and 1,902.05

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Solution

The fourth proportional to 7,448.70, 11,173.04 and 1,902.05 is: 2,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.70 : 11,173.04 = 1,902.05 : x
  2. Step 2: Convert to fraction form
    7,448.70/11,173.04 = 1,902.05/x
  3. Step 3: Cross multiply
    7,448.70x = 11,173.04 × 1,902.05
  4. Step 4: Simplify right side
    7,448.70x = 21,251,615.36
  5. Step 5: Solve for x
    x = 21,251,615.36/7,448.70
  6. Step 6: Final answer
    x = 2,853.06

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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.