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Finding the Fourth Proportional to 14,969.72, 20,653.20 and 9,668.12

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Solution

The fourth proportional to 14,969.72, 20,653.20 and 9,668.12 is: 13,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.72 : 20,653.20 = 9,668.12 : x
  2. Step 2: Convert to fraction form
    14,969.72/20,653.20 = 9,668.12/x
  3. Step 3: Cross multiply
    14,969.72x = 20,653.20 × 9,668.12
  4. Step 4: Simplify right side
    14,969.72x = 199,677,615.98
  5. Step 5: Solve for x
    x = 199,677,615.98/14,969.72
  6. Step 6: Final answer
    x = 13,338.77

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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.