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Finding the Fourth Proportional to 15,809.21, 23,706.78 and 8,412.11

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Solution

The fourth proportional to 15,809.21, 23,706.78 and 8,412.11 is: 12,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.21 : 23,706.78 = 8,412.11 : x
  2. Step 2: Convert to fraction form
    15,809.21/23,706.78 = 8,412.11/x
  3. Step 3: Cross multiply
    15,809.21x = 23,706.78 × 8,412.11
  4. Step 4: Simplify right side
    15,809.21x = 199,424,041.11
  5. Step 5: Solve for x
    x = 199,424,041.11/15,809.21
  6. Step 6: Final answer
    x = 12,614.42

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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.