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Finding the Fourth Proportional to 11,525.34, 15,888 and 8,157.72

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Solution

The fourth proportional to 11,525.34, 15,888 and 8,157.72 is: 11,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.34 : 15,888 = 8,157.72 : x
  2. Step 2: Convert to fraction form
    11,525.34/15,888 = 8,157.72/x
  3. Step 3: Cross multiply
    11,525.34x = 15,888 × 8,157.72
  4. Step 4: Simplify right side
    11,525.34x = 129,609,855.36
  5. Step 5: Solve for x
    x = 129,609,855.36/11,525.34
  6. Step 6: Final answer
    x = 11,245.64

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Double scale
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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.