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Finding the Fourth Proportional to 14,505.66, 20,004.30 and 9,190.98

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Solution

The fourth proportional to 14,505.66, 20,004.30 and 9,190.98 is: 12,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.66 : 20,004.30 = 9,190.98 : x
  2. Step 2: Convert to fraction form
    14,505.66/20,004.30 = 9,190.98/x
  3. Step 3: Cross multiply
    14,505.66x = 20,004.30 × 9,190.98
  4. Step 4: Simplify right side
    14,505.66x = 183,859,121.21
  5. Step 5: Solve for x
    x = 183,859,121.21/14,505.66
  6. Step 6: Final answer
    x = 12,674.99

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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.