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Finding the Fourth Proportional to 7,878.92, 11,814.20 and 2,331.50

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Solution

The fourth proportional to 7,878.92, 11,814.20 and 2,331.50 is: 3,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.92 : 11,814.20 = 2,331.50 : x
  2. Step 2: Convert to fraction form
    7,878.92/11,814.20 = 2,331.50/x
  3. Step 3: Cross multiply
    7,878.92x = 11,814.20 × 2,331.50
  4. Step 4: Simplify right side
    7,878.92x = 27,544,807.30
  5. Step 5: Solve for x
    x = 27,544,807.30/7,878.92
  6. Step 6: Final answer
    x = 3,496.01

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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.