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Finding the Fourth Proportional to 7,871.83, 11,800.69 and 7,187.03

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Solution

The fourth proportional to 7,871.83, 11,800.69 and 7,187.03 is: 10,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.83 : 11,800.69 = 7,187.03 : x
  2. Step 2: Convert to fraction form
    7,871.83/11,800.69 = 7,187.03/x
  3. Step 3: Cross multiply
    7,871.83x = 11,800.69 × 7,187.03
  4. Step 4: Simplify right side
    7,871.83x = 84,811,880.33
  5. Step 5: Solve for x
    x = 84,811,880.33/7,871.83
  6. Step 6: Final answer
    x = 10,774.10

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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.