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Finding the Fourth Proportional to 42,192.80, 63,292.80 and 11,028

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Solution

The fourth proportional to 42,192.80, 63,292.80 and 11,028 is: 16,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,192.80 : 63,292.80 = 11,028 : x
  2. Step 2: Convert to fraction form
    42,192.80/63,292.80 = 11,028/x
  3. Step 3: Cross multiply
    42,192.80x = 63,292.80 × 11,028
  4. Step 4: Simplify right side
    42,192.80x = 697,992,998.40
  5. Step 5: Solve for x
    x = 697,992,998.40/42,192.80
  6. Step 6: Final answer
    x = 16,542.94

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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.