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Finding the Fourth Proportional to 3,200.61, 4,416.72 and 1,784.22

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Solution

The fourth proportional to 3,200.61, 4,416.72 and 1,784.22 is: 2,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.61 : 4,416.72 = 1,784.22 : x
  2. Step 2: Convert to fraction form
    3,200.61/4,416.72 = 1,784.22/x
  3. Step 3: Cross multiply
    3,200.61x = 4,416.72 × 1,784.22
  4. Step 4: Simplify right side
    3,200.61x = 7,880,400.16
  5. Step 5: Solve for x
    x = 7,880,400.16/3,200.61
  6. Step 6: Final answer
    x = 2,462.16

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