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Finding the Fourth Proportional to 4,764.42, 7,146.83 and 1,479.74

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Solution

The fourth proportional to 4,764.42, 7,146.83 and 1,479.74 is: 2,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.42 : 7,146.83 = 1,479.74 : x
  2. Step 2: Convert to fraction form
    4,764.42/7,146.83 = 1,479.74/x
  3. Step 3: Cross multiply
    4,764.42x = 7,146.83 × 1,479.74
  4. Step 4: Simplify right side
    4,764.42x = 10,575,418.19
  5. Step 5: Solve for x
    x = 10,575,418.19/4,764.42
  6. Step 6: Final answer
    x = 2,219.67

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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.