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Finding the Fourth Proportional to 28,926, 39,918.24 and 15,678

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Solution

The fourth proportional to 28,926, 39,918.24 and 15,678 is: 21,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,926 : 39,918.24 = 15,678 : x
  2. Step 2: Convert to fraction form
    28,926/39,918.24 = 15,678/x
  3. Step 3: Cross multiply
    28,926x = 39,918.24 × 15,678
  4. Step 4: Simplify right side
    28,926x = 625,838,166.72
  5. Step 5: Solve for x
    x = 625,838,166.72/28,926
  6. Step 6: Final answer
    x = 21,635.84

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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.