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Finding the Fourth Proportional to 9,783.30, 13,500.33 and 5,591.46

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Solution

The fourth proportional to 9,783.30, 13,500.33 and 5,591.46 is: 7,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.30 : 13,500.33 = 5,591.46 : x
  2. Step 2: Convert to fraction form
    9,783.30/13,500.33 = 5,591.46/x
  3. Step 3: Cross multiply
    9,783.30x = 13,500.33 × 5,591.46
  4. Step 4: Simplify right side
    9,783.30x = 75,486,555.18
  5. Step 5: Solve for x
    x = 75,486,555.18/9,783.30
  6. Step 6: Final answer
    x = 7,715.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.