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Finding the Fourth Proportional to 30,607.20, 45,917.28 and 9,828

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Solution

The fourth proportional to 30,607.20, 45,917.28 and 9,828 is: 14,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,607.20 : 45,917.28 = 9,828 : x
  2. Step 2: Convert to fraction form
    30,607.20/45,917.28 = 9,828/x
  3. Step 3: Cross multiply
    30,607.20x = 45,917.28 × 9,828
  4. Step 4: Simplify right side
    30,607.20x = 451,275,027.84
  5. Step 5: Solve for x
    x = 451,275,027.84/30,607.20
  6. Step 6: Final answer
    x = 14,744.08

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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.