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Finding the Fourth Proportional to 14,668.57, 20,242.65 and 7,954.20

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Solution

The fourth proportional to 14,668.57, 20,242.65 and 7,954.20 is: 10,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668.57 : 20,242.65 = 7,954.20 : x
  2. Step 2: Convert to fraction form
    14,668.57/20,242.65 = 7,954.20/x
  3. Step 3: Cross multiply
    14,668.57x = 20,242.65 × 7,954.20
  4. Step 4: Simplify right side
    14,668.57x = 161,014,086.63
  5. Step 5: Solve for x
    x = 161,014,086.63/14,668.57
  6. Step 6: Final answer
    x = 10,976.81

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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.