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Finding the Fourth Proportional to 28,144, 42,228.16 and 14,992.64

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Solution

The fourth proportional to 28,144, 42,228.16 and 14,992.64 is: 22,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,144 : 42,228.16 = 14,992.64 : x
  2. Step 2: Convert to fraction form
    28,144/42,228.16 = 14,992.64/x
  3. Step 3: Cross multiply
    28,144x = 42,228.16 × 14,992.64
  4. Step 4: Simplify right side
    28,144x = 633,111,600.74
  5. Step 5: Solve for x
    x = 633,111,600.74/28,144
  6. Step 6: Final answer
    x = 22,495.44

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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.