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Finding the Fourth Proportional to 30,027, 45,032.40 and 11,305.74

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Solution

The fourth proportional to 30,027, 45,032.40 and 11,305.74 is: 16,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,027 : 45,032.40 = 11,305.74 : x
  2. Step 2: Convert to fraction form
    30,027/45,032.40 = 11,305.74/x
  3. Step 3: Cross multiply
    30,027x = 45,032.40 × 11,305.74
  4. Step 4: Simplify right side
    30,027x = 509,124,605.98
  5. Step 5: Solve for x
    x = 509,124,605.98/30,027
  6. Step 6: Final answer
    x = 16,955.56

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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.