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Finding the Fourth Proportional to 3,890.88, 5,838 and 1,700.16

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Solution

The fourth proportional to 3,890.88, 5,838 and 1,700.16 is: 2,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.88 : 5,838 = 1,700.16 : x
  2. Step 2: Convert to fraction form
    3,890.88/5,838 = 1,700.16/x
  3. Step 3: Cross multiply
    3,890.88x = 5,838 × 1,700.16
  4. Step 4: Simplify right side
    3,890.88x = 9,925,534.08
  5. Step 5: Solve for x
    x = 9,925,534.08/3,890.88
  6. Step 6: Final answer
    x = 2,550.97

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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.