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Finding the Fourth Proportional to 30,277.12, 45,410.56 and 8,384

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Solution

The fourth proportional to 30,277.12, 45,410.56 and 8,384 is: 12,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.12 : 45,410.56 = 8,384 : x
  2. Step 2: Convert to fraction form
    30,277.12/45,410.56 = 8,384/x
  3. Step 3: Cross multiply
    30,277.12x = 45,410.56 × 8,384
  4. Step 4: Simplify right side
    30,277.12x = 380,722,135.04
  5. Step 5: Solve for x
    x = 380,722,135.04/30,277.12
  6. Step 6: Final answer
    x = 12,574.58

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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.