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Finding the Fourth Proportional to 15,123.70, 20,869.68 and 8,408.80

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Solution

The fourth proportional to 15,123.70, 20,869.68 and 8,408.80 is: 11,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.70 : 20,869.68 = 8,408.80 : x
  2. Step 2: Convert to fraction form
    15,123.70/20,869.68 = 8,408.80/x
  3. Step 3: Cross multiply
    15,123.70x = 20,869.68 × 8,408.80
  4. Step 4: Simplify right side
    15,123.70x = 175,488,965.18
  5. Step 5: Solve for x
    x = 175,488,965.18/15,123.70
  6. Step 6: Final answer
    x = 11,603.57

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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.