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Finding the Fourth Proportional to 7,656.10, 11,484.43 and 2,109.87

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Solution

The fourth proportional to 7,656.10, 11,484.43 and 2,109.87 is: 3,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.10 : 11,484.43 = 2,109.87 : x
  2. Step 2: Convert to fraction form
    7,656.10/11,484.43 = 2,109.87/x
  3. Step 3: Cross multiply
    7,656.10x = 11,484.43 × 2,109.87
  4. Step 4: Simplify right side
    7,656.10x = 24,230,649.05
  5. Step 5: Solve for x
    x = 24,230,649.05/7,656.10
  6. Step 6: Final answer
    x = 3,164.88

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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.