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Finding the Fourth Proportional to 15,123.96, 20,870.64 and 8,409.11

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Solution

The fourth proportional to 15,123.96, 20,870.64 and 8,409.11 is: 11,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.96 : 20,870.64 = 8,409.11 : x
  2. Step 2: Convert to fraction form
    15,123.96/20,870.64 = 8,409.11/x
  3. Step 3: Cross multiply
    15,123.96x = 20,870.64 × 8,409.11
  4. Step 4: Simplify right side
    15,123.96x = 175,503,403.18
  5. Step 5: Solve for x
    x = 175,503,403.18/15,123.96
  6. Step 6: Final answer
    x = 11,604.33

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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.