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Finding the Fourth Proportional to 30,928, 46,353.96 and 14,264.88

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Solution

The fourth proportional to 30,928, 46,353.96 and 14,264.88 is: 21,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928 : 46,353.96 = 14,264.88 : x
  2. Step 2: Convert to fraction form
    30,928/46,353.96 = 14,264.88/x
  3. Step 3: Cross multiply
    30,928x = 46,353.96 × 14,264.88
  4. Step 4: Simplify right side
    30,928x = 661,233,676.92
  5. Step 5: Solve for x
    x = 661,233,676.92/30,928
  6. Step 6: Final answer
    x = 21,379.77

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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.