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Finding the Fourth Proportional to 28,393.92, 39,178.56 and 15,816

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Solution

The fourth proportional to 28,393.92, 39,178.56 and 15,816 is: 21,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,393.92 : 39,178.56 = 15,816 : x
  2. Step 2: Convert to fraction form
    28,393.92/39,178.56 = 15,816/x
  3. Step 3: Cross multiply
    28,393.92x = 39,178.56 × 15,816
  4. Step 4: Simplify right side
    28,393.92x = 619,648,104.96
  5. Step 5: Solve for x
    x = 619,648,104.96/28,393.92
  6. Step 6: Final answer
    x = 21,823.27

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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.