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Finding the Fourth Proportional to 13,509.65, 20,250.62 and 5,187.43

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Solution

The fourth proportional to 13,509.65, 20,250.62 and 5,187.43 is: 7,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.65 : 20,250.62 = 5,187.43 : x
  2. Step 2: Convert to fraction form
    13,509.65/20,250.62 = 5,187.43/x
  3. Step 3: Cross multiply
    13,509.65x = 20,250.62 × 5,187.43
  4. Step 4: Simplify right side
    13,509.65x = 105,048,636.05
  5. Step 5: Solve for x
    x = 105,048,636.05/13,509.65
  6. Step 6: Final answer
    x = 7,775.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.