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Finding the Fourth Proportional to 16,772.64, 25,163.28 and 6,378.72

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Solution

The fourth proportional to 16,772.64, 25,163.28 and 6,378.72 is: 9,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772.64 : 25,163.28 = 6,378.72 : x
  2. Step 2: Convert to fraction form
    16,772.64/25,163.28 = 6,378.72/x
  3. Step 3: Cross multiply
    16,772.64x = 25,163.28 × 6,378.72
  4. Step 4: Simplify right side
    16,772.64x = 160,509,517.40
  5. Step 5: Solve for x
    x = 160,509,517.40/16,772.64
  6. Step 6: Final answer
    x = 9,569.72

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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.