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Finding the Fourth Proportional to 10,938.70, 16,420.20 and 6,783.40

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Solution

The fourth proportional to 10,938.70, 16,420.20 and 6,783.40 is: 10,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.70 : 16,420.20 = 6,783.40 : x
  2. Step 2: Convert to fraction form
    10,938.70/16,420.20 = 6,783.40/x
  3. Step 3: Cross multiply
    10,938.70x = 16,420.20 × 6,783.40
  4. Step 4: Simplify right side
    10,938.70x = 111,384,784.68
  5. Step 5: Solve for x
    x = 111,384,784.68/10,938.70
  6. Step 6: Final answer
    x = 10,182.63

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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.