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Finding the Fourth Proportional to 15,122.64, 20,870.40 and 8,408.82

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Solution

The fourth proportional to 15,122.64, 20,870.40 and 8,408.82 is: 11,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.64 : 20,870.40 = 8,408.82 : x
  2. Step 2: Convert to fraction form
    15,122.64/20,870.40 = 8,408.82/x
  3. Step 3: Cross multiply
    15,122.64x = 20,870.40 × 8,408.82
  4. Step 4: Simplify right side
    15,122.64x = 175,495,436.93
  5. Step 5: Solve for x
    x = 175,495,436.93/15,122.64
  6. Step 6: Final answer
    x = 11,604.81

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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.