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Finding the Fourth Proportional to 30,751.80, 46,135.80 and 11,028.30

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Solution

The fourth proportional to 30,751.80, 46,135.80 and 11,028.30 is: 16,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.80 : 46,135.80 = 11,028.30 : x
  2. Step 2: Convert to fraction form
    30,751.80/46,135.80 = 11,028.30/x
  3. Step 3: Cross multiply
    30,751.80x = 46,135.80 × 11,028.30
  4. Step 4: Simplify right side
    30,751.80x = 508,799,443.14
  5. Step 5: Solve for x
    x = 508,799,443.14/30,751.80
  6. Step 6: Final answer
    x = 16,545.35

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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.