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Finding the Fourth Proportional to 10,873, 16,312.35 and 3,477.61

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Solution

The fourth proportional to 10,873, 16,312.35 and 3,477.61 is: 5,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873 : 16,312.35 = 3,477.61 : x
  2. Step 2: Convert to fraction form
    10,873/16,312.35 = 3,477.61/x
  3. Step 3: Cross multiply
    10,873x = 16,312.35 × 3,477.61
  4. Step 4: Simplify right side
    10,873x = 56,727,991.48
  5. Step 5: Solve for x
    x = 56,727,991.48/10,873
  6. Step 6: Final answer
    x = 5,217.33

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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.