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Finding the Fourth Proportional to 3,070.46, 4,604.34 and 878.69

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Solution

The fourth proportional to 3,070.46, 4,604.34 and 878.69 is: 1,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.46 : 4,604.34 = 878.69 : x
  2. Step 2: Convert to fraction form
    3,070.46/4,604.34 = 878.69/x
  3. Step 3: Cross multiply
    3,070.46x = 4,604.34 × 878.69
  4. Step 4: Simplify right side
    3,070.46x = 4,045,787.51
  5. Step 5: Solve for x
    x = 4,045,787.51/3,070.46
  6. Step 6: Final answer
    x = 1,317.65

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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.