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Finding the Fourth Proportional to 4,751.96, 7,127.94 and 1,289.22

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Solution

The fourth proportional to 4,751.96, 7,127.94 and 1,289.22 is: 1,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.96 : 7,127.94 = 1,289.22 : x
  2. Step 2: Convert to fraction form
    4,751.96/7,127.94 = 1,289.22/x
  3. Step 3: Cross multiply
    4,751.96x = 7,127.94 × 1,289.22
  4. Step 4: Simplify right side
    4,751.96x = 9,189,482.81
  5. Step 5: Solve for x
    x = 9,189,482.81/4,751.96
  6. Step 6: Final answer
    x = 1,933.83

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Similar ratio
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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.