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Finding the Fourth Proportional to 9,671.28, 14,509.28 and 2,745.76

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Solution

The fourth proportional to 9,671.28, 14,509.28 and 2,745.76 is: 4,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.28 : 14,509.28 = 2,745.76 : x
  2. Step 2: Convert to fraction form
    9,671.28/14,509.28 = 2,745.76/x
  3. Step 3: Cross multiply
    9,671.28x = 14,509.28 × 2,745.76
  4. Step 4: Simplify right side
    9,671.28x = 39,839,000.65
  5. Step 5: Solve for x
    x = 39,839,000.65/9,671.28
  6. Step 6: Final answer
    x = 4,119.31

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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.