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Finding the Fourth Proportional to 5,284.36, 7,925.82 and 1,821.64

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Solution

The fourth proportional to 5,284.36, 7,925.82 and 1,821.64 is: 2,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.36 : 7,925.82 = 1,821.64 : x
  2. Step 2: Convert to fraction form
    5,284.36/7,925.82 = 1,821.64/x
  3. Step 3: Cross multiply
    5,284.36x = 7,925.82 × 1,821.64
  4. Step 4: Simplify right side
    5,284.36x = 14,437,990.74
  5. Step 5: Solve for x
    x = 14,437,990.74/5,284.36
  6. Step 6: Final answer
    x = 2,732.21

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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.