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Finding the Fourth Proportional to 31,797.28, 47,454.42 and 30,509.87

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Solution

The fourth proportional to 31,797.28, 47,454.42 and 30,509.87 is: 45,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.28 : 47,454.42 = 30,509.87 : x
  2. Step 2: Convert to fraction form
    31,797.28/47,454.42 = 30,509.87/x
  3. Step 3: Cross multiply
    31,797.28x = 47,454.42 × 30,509.87
  4. Step 4: Simplify right side
    31,797.28x = 1,447,828,329.20
  5. Step 5: Solve for x
    x = 1,447,828,329.20/31,797.28
  6. Step 6: Final answer
    x = 45,533.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.