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Finding the Fourth Proportional to 15,706.20, 21,671.94 and 10,408.20

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Solution

The fourth proportional to 15,706.20, 21,671.94 and 10,408.20 is: 14,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.20 : 21,671.94 = 10,408.20 : x
  2. Step 2: Convert to fraction form
    15,706.20/21,671.94 = 10,408.20/x
  3. Step 3: Cross multiply
    15,706.20x = 21,671.94 × 10,408.20
  4. Step 4: Simplify right side
    15,706.20x = 225,565,885.91
  5. Step 5: Solve for x
    x = 225,565,885.91/15,706.20
  6. Step 6: Final answer
    x = 14,361.58

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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.