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Finding the Fourth Proportional to 5,690, 7,854.36 and 3,828.08

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Solution

The fourth proportional to 5,690, 7,854.36 and 3,828.08 is: 5,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690 : 7,854.36 = 3,828.08 : x
  2. Step 2: Convert to fraction form
    5,690/7,854.36 = 3,828.08/x
  3. Step 3: Cross multiply
    5,690x = 7,854.36 × 3,828.08
  4. Step 4: Simplify right side
    5,690x = 30,067,118.43
  5. Step 5: Solve for x
    x = 30,067,118.43/5,690
  6. Step 6: Final answer
    x = 5,284.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.