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Finding the Fourth Proportional to 3,318.70, 4,977.92 and 853.56

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Solution

The fourth proportional to 3,318.70, 4,977.92 and 853.56 is: 1,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.70 : 4,977.92 = 853.56 : x
  2. Step 2: Convert to fraction form
    3,318.70/4,977.92 = 853.56/x
  3. Step 3: Cross multiply
    3,318.70x = 4,977.92 × 853.56
  4. Step 4: Simplify right side
    3,318.70x = 4,248,953.40
  5. Step 5: Solve for x
    x = 4,248,953.40/3,318.70
  6. Step 6: Final answer
    x = 1,280.31

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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.