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Finding the Fourth Proportional to 30,931.46, 46,399.68 and 8,745.02

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Solution

The fourth proportional to 30,931.46, 46,399.68 and 8,745.02 is: 13,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.46 : 46,399.68 = 8,745.02 : x
  2. Step 2: Convert to fraction form
    30,931.46/46,399.68 = 8,745.02/x
  3. Step 3: Cross multiply
    30,931.46x = 46,399.68 × 8,745.02
  4. Step 4: Simplify right side
    30,931.46x = 405,766,129.59
  5. Step 5: Solve for x
    x = 405,766,129.59/30,931.46
  6. Step 6: Final answer
    x = 13,118.23

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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.