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Finding the Fourth Proportional to 9,684.09, 13,377.02 and 7,803

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Solution

The fourth proportional to 9,684.09, 13,377.02 and 7,803 is: 10,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.09 : 13,377.02 = 7,803 : x
  2. Step 2: Convert to fraction form
    9,684.09/13,377.02 = 7,803/x
  3. Step 3: Cross multiply
    9,684.09x = 13,377.02 × 7,803
  4. Step 4: Simplify right side
    9,684.09x = 104,380,848.05
  5. Step 5: Solve for x
    x = 104,380,848.05/9,684.09
  6. Step 6: Final answer
    x = 10,778.59

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1.5x scale

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.