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Finding the Fourth Proportional to 30,281.52, 45,410.76 and 13,854

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Solution

The fourth proportional to 30,281.52, 45,410.76 and 13,854 is: 20,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281.52 : 45,410.76 = 13,854 : x
  2. Step 2: Convert to fraction form
    30,281.52/45,410.76 = 13,854/x
  3. Step 3: Cross multiply
    30,281.52x = 45,410.76 × 13,854
  4. Step 4: Simplify right side
    30,281.52x = 629,120,669.04
  5. Step 5: Solve for x
    x = 629,120,669.04/30,281.52
  6. Step 6: Final answer
    x = 20,775.73

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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.