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Finding the Fourth Proportional to 14,509.62, 20,034.57 and 11,147.10

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Solution

The fourth proportional to 14,509.62, 20,034.57 and 11,147.10 is: 15,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.62 : 20,034.57 = 11,147.10 : x
  2. Step 2: Convert to fraction form
    14,509.62/20,034.57 = 11,147.10/x
  3. Step 3: Cross multiply
    14,509.62x = 20,034.57 × 11,147.10
  4. Step 4: Simplify right side
    14,509.62x = 223,327,355.25
  5. Step 5: Solve for x
    x = 223,327,355.25/14,509.62
  6. Step 6: Final answer
    x = 15,391.67

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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.