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Finding the Fourth Proportional to 30,914.54, 46,355.02 and 14,038.28

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Solution

The fourth proportional to 30,914.54, 46,355.02 and 14,038.28 is: 21,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.54 : 46,355.02 = 14,038.28 : x
  2. Step 2: Convert to fraction form
    30,914.54/46,355.02 = 14,038.28/x
  3. Step 3: Cross multiply
    30,914.54x = 46,355.02 × 14,038.28
  4. Step 4: Simplify right side
    30,914.54x = 650,744,750.17
  5. Step 5: Solve for x
    x = 650,744,750.17/30,914.54
  6. Step 6: Final answer
    x = 21,049.80

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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.