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Finding the Fourth Proportional to 28,155.80, 38,810.34 and 22,178

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Solution

The fourth proportional to 28,155.80, 38,810.34 and 22,178 is: 30,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,155.80 : 38,810.34 = 22,178 : x
  2. Step 2: Convert to fraction form
    28,155.80/38,810.34 = 22,178/x
  3. Step 3: Cross multiply
    28,155.80x = 38,810.34 × 22,178
  4. Step 4: Simplify right side
    28,155.80x = 860,735,720.52
  5. Step 5: Solve for x
    x = 860,735,720.52/28,155.80
  6. Step 6: Final answer
    x = 30,570.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.