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Finding the Fourth Proportional to 4,728.09, 7,091.10 and 1,440.30

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Solution

The fourth proportional to 4,728.09, 7,091.10 and 1,440.30 is: 2,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.09 : 7,091.10 = 1,440.30 : x
  2. Step 2: Convert to fraction form
    4,728.09/7,091.10 = 1,440.30/x
  3. Step 3: Cross multiply
    4,728.09x = 7,091.10 × 1,440.30
  4. Step 4: Simplify right side
    4,728.09x = 10,213,311.33
  5. Step 5: Solve for x
    x = 10,213,311.33/4,728.09
  6. Step 6: Final answer
    x = 2,160.13

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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.