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Finding the Fourth Proportional to 14,729.76, 20,321.64 and 9,696.87

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Solution

The fourth proportional to 14,729.76, 20,321.64 and 9,696.87 is: 13,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729.76 : 20,321.64 = 9,696.87 : x
  2. Step 2: Convert to fraction form
    14,729.76/20,321.64 = 9,696.87/x
  3. Step 3: Cross multiply
    14,729.76x = 20,321.64 × 9,696.87
  4. Step 4: Simplify right side
    14,729.76x = 197,056,301.27
  5. Step 5: Solve for x
    x = 197,056,301.27/14,729.76
  6. Step 6: Final answer
    x = 13,378.11

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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.