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Finding the Fourth Proportional to 4,647.28, 6,968.60 and 1,685.60

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Solution

The fourth proportional to 4,647.28, 6,968.60 and 1,685.60 is: 2,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.28 : 6,968.60 = 1,685.60 : x
  2. Step 2: Convert to fraction form
    4,647.28/6,968.60 = 1,685.60/x
  3. Step 3: Cross multiply
    4,647.28x = 6,968.60 × 1,685.60
  4. Step 4: Simplify right side
    4,647.28x = 11,746,272.16
  5. Step 5: Solve for x
    x = 11,746,272.16/4,647.28
  6. Step 6: Final answer
    x = 2,527.56

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1.5x scale

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.