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Finding the Fourth Proportional to 3,123, 4,684.56 and 1,176.12

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Solution

The fourth proportional to 3,123, 4,684.56 and 1,176.12 is: 1,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123 : 4,684.56 = 1,176.12 : x
  2. Step 2: Convert to fraction form
    3,123/4,684.56 = 1,176.12/x
  3. Step 3: Cross multiply
    3,123x = 4,684.56 × 1,176.12
  4. Step 4: Simplify right side
    3,123x = 5,509,604.71
  5. Step 5: Solve for x
    x = 5,509,604.71/3,123
  6. Step 6: Final answer
    x = 1,764.20

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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.