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Finding the Fourth Proportional to 11,722.64, 17,549.52 and 7,326.80

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Solution

The fourth proportional to 11,722.64, 17,549.52 and 7,326.80 is: 10,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.64 : 17,549.52 = 7,326.80 : x
  2. Step 2: Convert to fraction form
    11,722.64/17,549.52 = 7,326.80/x
  3. Step 3: Cross multiply
    11,722.64x = 17,549.52 × 7,326.80
  4. Step 4: Simplify right side
    11,722.64x = 128,581,823.14
  5. Step 5: Solve for x
    x = 128,581,823.14/11,722.64
  6. Step 6: Final answer
    x = 10,968.67

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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.