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Finding the Fourth Proportional to 9,170.64, 13,762.08 and 7,936.20

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Solution

The fourth proportional to 9,170.64, 13,762.08 and 7,936.20 is: 11,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.64 : 13,762.08 = 7,936.20 : x
  2. Step 2: Convert to fraction form
    9,170.64/13,762.08 = 7,936.20/x
  3. Step 3: Cross multiply
    9,170.64x = 13,762.08 × 7,936.20
  4. Step 4: Simplify right side
    9,170.64x = 109,218,619.30
  5. Step 5: Solve for x
    x = 109,218,619.30/9,170.64
  6. Step 6: Final answer
    x = 11,909.60

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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.