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Finding the Fourth Proportional to 13,728.26, 20,574.38 and 7,807.87

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Solution

The fourth proportional to 13,728.26, 20,574.38 and 7,807.87 is: 11,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.26 : 20,574.38 = 7,807.87 : x
  2. Step 2: Convert to fraction form
    13,728.26/20,574.38 = 7,807.87/x
  3. Step 3: Cross multiply
    13,728.26x = 20,574.38 × 7,807.87
  4. Step 4: Simplify right side
    13,728.26x = 160,642,052.45
  5. Step 5: Solve for x
    x = 160,642,052.45/13,728.26
  6. Step 6: Final answer
    x = 11,701.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.