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Finding the Fourth Proportional to 4,647.28, 6,973.64 and 1,727.60

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Solution

The fourth proportional to 4,647.28, 6,973.64 and 1,727.60 is: 2,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.28 : 6,973.64 = 1,727.60 : x
  2. Step 2: Convert to fraction form
    4,647.28/6,973.64 = 1,727.60/x
  3. Step 3: Cross multiply
    4,647.28x = 6,973.64 × 1,727.60
  4. Step 4: Simplify right side
    4,647.28x = 12,047,660.46
  5. Step 5: Solve for x
    x = 12,047,660.46/4,647.28
  6. Step 6: Final answer
    x = 2,592.41

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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.