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Finding the Fourth Proportional to 7,110.08, 10,665.20 and 3,415.20

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Solution

The fourth proportional to 7,110.08, 10,665.20 and 3,415.20 is: 5,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.08 : 10,665.20 = 3,415.20 : x
  2. Step 2: Convert to fraction form
    7,110.08/10,665.20 = 3,415.20/x
  3. Step 3: Cross multiply
    7,110.08x = 10,665.20 × 3,415.20
  4. Step 4: Simplify right side
    7,110.08x = 36,423,791.04
  5. Step 5: Solve for x
    x = 36,423,791.04/7,110.08
  6. Step 6: Final answer
    x = 5,122.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.