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Finding the Fourth Proportional to 14,972.80, 20,650.80 and 9,668.92

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Solution

The fourth proportional to 14,972.80, 20,650.80 and 9,668.92 is: 13,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.80 : 20,650.80 = 9,668.92 : x
  2. Step 2: Convert to fraction form
    14,972.80/20,650.80 = 9,668.92/x
  3. Step 3: Cross multiply
    14,972.80x = 20,650.80 × 9,668.92
  4. Step 4: Simplify right side
    14,972.80x = 199,670,933.14
  5. Step 5: Solve for x
    x = 199,670,933.14/14,972.80
  6. Step 6: Final answer
    x = 13,335.58

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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.