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Finding the Fourth Proportional to 10,783.53, 16,191.19 and 6,640.89

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Solution

The fourth proportional to 10,783.53, 16,191.19 and 6,640.89 is: 9,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.53 : 16,191.19 = 6,640.89 : x
  2. Step 2: Convert to fraction form
    10,783.53/16,191.19 = 6,640.89/x
  3. Step 3: Cross multiply
    10,783.53x = 16,191.19 × 6,640.89
  4. Step 4: Simplify right side
    10,783.53x = 107,523,859.34
  5. Step 5: Solve for x
    x = 107,523,859.34/10,783.53
  6. Step 6: Final answer
    x = 9,971.12

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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.