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Finding the Fourth Proportional to 11,618.57, 16,025.51 and 7,638.41

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Solution

The fourth proportional to 11,618.57, 16,025.51 and 7,638.41 is: 10,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.57 : 16,025.51 = 7,638.41 : x
  2. Step 2: Convert to fraction form
    11,618.57/16,025.51 = 7,638.41/x
  3. Step 3: Cross multiply
    11,618.57x = 16,025.51 × 7,638.41
  4. Step 4: Simplify right side
    11,618.57x = 122,409,354.81
  5. Step 5: Solve for x
    x = 122,409,354.81/11,618.57
  6. Step 6: Final answer
    x = 10,535.67

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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.