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Finding the Fourth Proportional to 7,179.64, 10,769.44 and 1,985.50

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Solution

The fourth proportional to 7,179.64, 10,769.44 and 1,985.50 is: 2,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.64 : 10,769.44 = 1,985.50 : x
  2. Step 2: Convert to fraction form
    7,179.64/10,769.44 = 1,985.50/x
  3. Step 3: Cross multiply
    7,179.64x = 10,769.44 × 1,985.50
  4. Step 4: Simplify right side
    7,179.64x = 21,382,723.12
  5. Step 5: Solve for x
    x = 21,382,723.12/7,179.64
  6. Step 6: Final answer
    x = 2,978.24

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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.