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Finding the Fourth Proportional to 30,035.84, 45,057 and 12,495.92

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Solution

The fourth proportional to 30,035.84, 45,057 and 12,495.92 is: 18,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,035.84 : 45,057 = 12,495.92 : x
  2. Step 2: Convert to fraction form
    30,035.84/45,057 = 12,495.92/x
  3. Step 3: Cross multiply
    30,035.84x = 45,057 × 12,495.92
  4. Step 4: Simplify right side
    30,035.84x = 563,028,667.44
  5. Step 5: Solve for x
    x = 563,028,667.44/30,035.84
  6. Step 6: Final answer
    x = 18,745.23

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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.