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Finding the Fourth Proportional to 15,123.16, 20,869.92 and 8,408.58

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Solution

The fourth proportional to 15,123.16, 20,869.92 and 8,408.58 is: 11,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.16 : 20,869.92 = 8,408.58 : x
  2. Step 2: Convert to fraction form
    15,123.16/20,869.92 = 8,408.58/x
  3. Step 3: Cross multiply
    15,123.16x = 20,869.92 × 8,408.58
  4. Step 4: Simplify right side
    15,123.16x = 175,486,391.91
  5. Step 5: Solve for x
    x = 175,486,391.91/15,123.16
  6. Step 6: Final answer
    x = 11,603.82

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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.