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Finding the Fourth Proportional to 15,706.70, 21,672.63 and 10,408.70

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Solution

The fourth proportional to 15,706.70, 21,672.63 and 10,408.70 is: 14,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.70 : 21,672.63 = 10,408.70 : x
  2. Step 2: Convert to fraction form
    15,706.70/21,672.63 = 10,408.70/x
  3. Step 3: Cross multiply
    15,706.70x = 21,672.63 × 10,408.70
  4. Step 4: Simplify right side
    15,706.70x = 225,583,903.88
  5. Step 5: Solve for x
    x = 225,583,903.88/15,706.70
  6. Step 6: Final answer
    x = 14,362.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.