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Finding the Fourth Proportional to 2,870.46, 4,305.12 and 789.93

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Solution

The fourth proportional to 2,870.46, 4,305.12 and 789.93 is: 1,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.46 : 4,305.12 = 789.93 : x
  2. Step 2: Convert to fraction form
    2,870.46/4,305.12 = 789.93/x
  3. Step 3: Cross multiply
    2,870.46x = 4,305.12 × 789.93
  4. Step 4: Simplify right side
    2,870.46x = 3,400,743.44
  5. Step 5: Solve for x
    x = 3,400,743.44/2,870.46
  6. Step 6: Final answer
    x = 1,184.74

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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.