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Finding the Fourth Proportional to 5,628, 7,766.64 and 3,420

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Solution

The fourth proportional to 5,628, 7,766.64 and 3,420 is: 4,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628 : 7,766.64 = 3,420 : x
  2. Step 2: Convert to fraction form
    5,628/7,766.64 = 3,420/x
  3. Step 3: Cross multiply
    5,628x = 7,766.64 × 3,420
  4. Step 4: Simplify right side
    5,628x = 26,561,908.80
  5. Step 5: Solve for x
    x = 26,561,908.80/5,628
  6. Step 6: Final answer
    x = 4,719.60

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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.