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Finding the Fourth Proportional to 9,666.63, 13,407.68 and 9,272.97

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Solution

The fourth proportional to 9,666.63, 13,407.68 and 9,272.97 is: 12,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.63 : 13,407.68 = 9,272.97 : x
  2. Step 2: Convert to fraction form
    9,666.63/13,407.68 = 9,272.97/x
  3. Step 3: Cross multiply
    9,666.63x = 13,407.68 × 9,272.97
  4. Step 4: Simplify right side
    9,666.63x = 124,328,968.04
  5. Step 5: Solve for x
    x = 124,328,968.04/9,666.63
  6. Step 6: Final answer
    x = 12,861.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.