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Finding the Fourth Proportional to 4,378, 6,566.28 and 1,914.16

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Solution

The fourth proportional to 4,378, 6,566.28 and 1,914.16 is: 2,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378 : 6,566.28 = 1,914.16 : x
  2. Step 2: Convert to fraction form
    4,378/6,566.28 = 1,914.16/x
  3. Step 3: Cross multiply
    4,378x = 6,566.28 × 1,914.16
  4. Step 4: Simplify right side
    4,378x = 12,568,910.52
  5. Step 5: Solve for x
    x = 12,568,910.52/4,378
  6. Step 6: Final answer
    x = 2,870.93

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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.