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Finding the Fourth Proportional to 11,698.80, 17,549.12 and 3,907.64

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Solution

The fourth proportional to 11,698.80, 17,549.12 and 3,907.64 is: 5,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.80 : 17,549.12 = 3,907.64 : x
  2. Step 2: Convert to fraction form
    11,698.80/17,549.12 = 3,907.64/x
  3. Step 3: Cross multiply
    11,698.80x = 17,549.12 × 3,907.64
  4. Step 4: Simplify right side
    11,698.80x = 68,575,643.28
  5. Step 5: Solve for x
    x = 68,575,643.28/11,698.80
  6. Step 6: Final answer
    x = 5,861.77

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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.