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Finding the Fourth Proportional to 3,240, 4,461.60 and 2,907.84

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Solution

The fourth proportional to 3,240, 4,461.60 and 2,907.84 is: 4,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240 : 4,461.60 = 2,907.84 : x
  2. Step 2: Convert to fraction form
    3,240/4,461.60 = 2,907.84/x
  3. Step 3: Cross multiply
    3,240x = 4,461.60 × 2,907.84
  4. Step 4: Simplify right side
    3,240x = 12,973,618.94
  5. Step 5: Solve for x
    x = 12,973,618.94/3,240
  6. Step 6: Final answer
    x = 4,004.20

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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.