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Finding the Fourth Proportional to 8,119.44, 11,205 and 5,602.10

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Solution

The fourth proportional to 8,119.44, 11,205 and 5,602.10 is: 7,731.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.44 : 11,205 = 5,602.10 : x
  2. Step 2: Convert to fraction form
    8,119.44/11,205 = 5,602.10/x
  3. Step 3: Cross multiply
    8,119.44x = 11,205 × 5,602.10
  4. Step 4: Simplify right side
    8,119.44x = 62,771,474.48
  5. Step 5: Solve for x
    x = 62,771,474.48/8,119.44
  6. Step 6: Final answer
    x = 7,731.01

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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.