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Finding the Fourth Proportional to 10,783.90, 16,175.86 and 3,389

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Solution

The fourth proportional to 10,783.90, 16,175.86 and 3,389 is: 5,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.90 : 16,175.86 = 3,389 : x
  2. Step 2: Convert to fraction form
    10,783.90/16,175.86 = 3,389/x
  3. Step 3: Cross multiply
    10,783.90x = 16,175.86 × 3,389
  4. Step 4: Simplify right side
    10,783.90x = 54,819,989.54
  5. Step 5: Solve for x
    x = 54,819,989.54/10,783.90
  6. Step 6: Final answer
    x = 5,083.50

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1.5x scale

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.