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Finding the Fourth Proportional to 7,871.12, 11,808.72 and 2,324.24

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Solution

The fourth proportional to 7,871.12, 11,808.72 and 2,324.24 is: 3,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.12 : 11,808.72 = 2,324.24 : x
  2. Step 2: Convert to fraction form
    7,871.12/11,808.72 = 2,324.24/x
  3. Step 3: Cross multiply
    7,871.12x = 11,808.72 × 2,324.24
  4. Step 4: Simplify right side
    7,871.12x = 27,446,328.89
  5. Step 5: Solve for x
    x = 27,446,328.89/7,871.12
  6. Step 6: Final answer
    x = 3,486.97

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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.