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Finding the Fourth Proportional to 3,878.16, 5,816.04 and 1,105.04

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Solution

The fourth proportional to 3,878.16, 5,816.04 and 1,105.04 is: 1,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.16 : 5,816.04 = 1,105.04 : x
  2. Step 2: Convert to fraction form
    3,878.16/5,816.04 = 1,105.04/x
  3. Step 3: Cross multiply
    3,878.16x = 5,816.04 × 1,105.04
  4. Step 4: Simplify right side
    3,878.16x = 6,426,956.84
  5. Step 5: Solve for x
    x = 6,426,956.84/3,878.16
  6. Step 6: Final answer
    x = 1,657.22

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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.