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Finding the Fourth Proportional to 9,903.88, 13,669.38 and 5,711.56

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Solution

The fourth proportional to 9,903.88, 13,669.38 and 5,711.56 is: 7,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.88 : 13,669.38 = 5,711.56 : x
  2. Step 2: Convert to fraction form
    9,903.88/13,669.38 = 5,711.56/x
  3. Step 3: Cross multiply
    9,903.88x = 13,669.38 × 5,711.56
  4. Step 4: Simplify right side
    9,903.88x = 78,073,484.03
  5. Step 5: Solve for x
    x = 78,073,484.03/9,903.88
  6. Step 6: Final answer
    x = 7,883.12

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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.