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Finding the Fourth Proportional to 12,871.65, 19,331.24 and 7,709.25

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Solution

The fourth proportional to 12,871.65, 19,331.24 and 7,709.25 is: 11,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.65 : 19,331.24 = 7,709.25 : x
  2. Step 2: Convert to fraction form
    12,871.65/19,331.24 = 7,709.25/x
  3. Step 3: Cross multiply
    12,871.65x = 19,331.24 × 7,709.25
  4. Step 4: Simplify right side
    12,871.65x = 149,029,323.42
  5. Step 5: Solve for x
    x = 149,029,323.42/12,871.65
  6. Step 6: Final answer
    x = 11,578.11

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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.