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Finding the Fourth Proportional to 13,532, 18,674.40 and 7,942.88

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Solution

The fourth proportional to 13,532, 18,674.40 and 7,942.88 is: 10,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532 : 18,674.40 = 7,942.88 : x
  2. Step 2: Convert to fraction form
    13,532/18,674.40 = 7,942.88/x
  3. Step 3: Cross multiply
    13,532x = 18,674.40 × 7,942.88
  4. Step 4: Simplify right side
    13,532x = 148,328,518.27
  5. Step 5: Solve for x
    x = 148,328,518.27/13,532
  6. Step 6: Final answer
    x = 10,961.32

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1.5x scale

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.