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Finding the Fourth Proportional to 4,768.77, 7,145.07 and 2,888.98

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Solution

The fourth proportional to 4,768.77, 7,145.07 and 2,888.98 is: 4,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.77 : 7,145.07 = 2,888.98 : x
  2. Step 2: Convert to fraction form
    4,768.77/7,145.07 = 2,888.98/x
  3. Step 3: Cross multiply
    4,768.77x = 7,145.07 × 2,888.98
  4. Step 4: Simplify right side
    4,768.77x = 20,641,964.33
  5. Step 5: Solve for x
    x = 20,641,964.33/4,768.77
  6. Step 6: Final answer
    x = 4,328.57

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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.