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Finding the Fourth Proportional to 28,554.86, 42,802.86 and 11,924.57

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Solution

The fourth proportional to 28,554.86, 42,802.86 and 11,924.57 is: 17,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,554.86 : 42,802.86 = 11,924.57 : x
  2. Step 2: Convert to fraction form
    28,554.86/42,802.86 = 11,924.57/x
  3. Step 3: Cross multiply
    28,554.86x = 42,802.86 × 11,924.57
  4. Step 4: Simplify right side
    28,554.86x = 510,405,700.27
  5. Step 5: Solve for x
    x = 510,405,700.27/28,554.86
  6. Step 6: Final answer
    x = 17,874.56

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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.