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Finding the Fourth Proportional to 3,200, 4,406.64 and 3,065.12

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Solution

The fourth proportional to 3,200, 4,406.64 and 3,065.12 is: 4,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200 : 4,406.64 = 3,065.12 : x
  2. Step 2: Convert to fraction form
    3,200/4,406.64 = 3,065.12/x
  3. Step 3: Cross multiply
    3,200x = 4,406.64 × 3,065.12
  4. Step 4: Simplify right side
    3,200x = 13,506,880.40
  5. Step 5: Solve for x
    x = 13,506,880.40/3,200
  6. Step 6: Final answer
    x = 4,220.90

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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.