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Finding the Fourth Proportional to 11,303.58, 15,591.09 and 7,760.64

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Solution

The fourth proportional to 11,303.58, 15,591.09 and 7,760.64 is: 10,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303.58 : 15,591.09 = 7,760.64 : x
  2. Step 2: Convert to fraction form
    11,303.58/15,591.09 = 7,760.64/x
  3. Step 3: Cross multiply
    11,303.58x = 15,591.09 × 7,760.64
  4. Step 4: Simplify right side
    11,303.58x = 120,996,836.70
  5. Step 5: Solve for x
    x = 120,996,836.70/11,303.58
  6. Step 6: Final answer
    x = 10,704.29

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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.