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Finding the Fourth Proportional to 4,742.94, 7,114.46 and 3,109.84

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Solution

The fourth proportional to 4,742.94, 7,114.46 and 3,109.84 is: 4,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.94 : 7,114.46 = 3,109.84 : x
  2. Step 2: Convert to fraction form
    4,742.94/7,114.46 = 3,109.84/x
  3. Step 3: Cross multiply
    4,742.94x = 7,114.46 × 3,109.84
  4. Step 4: Simplify right side
    4,742.94x = 22,124,832.29
  5. Step 5: Solve for x
    x = 22,124,832.29/4,742.94
  6. Step 6: Final answer
    x = 4,664.79

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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.