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Finding the Fourth Proportional to 7,108.64, 10,662.88 and 2,178.24

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Solution

The fourth proportional to 7,108.64, 10,662.88 and 2,178.24 is: 3,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.64 : 10,662.88 = 2,178.24 : x
  2. Step 2: Convert to fraction form
    7,108.64/10,662.88 = 2,178.24/x
  3. Step 3: Cross multiply
    7,108.64x = 10,662.88 × 2,178.24
  4. Step 4: Simplify right side
    7,108.64x = 23,226,311.73
  5. Step 5: Solve for x
    x = 23,226,311.73/7,108.64
  6. Step 6: Final answer
    x = 3,267.34

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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.