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Finding the Fourth Proportional to 13,758.30, 20,629.11 and 7,509.63

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Solution

The fourth proportional to 13,758.30, 20,629.11 and 7,509.63 is: 11,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.30 : 20,629.11 = 7,509.63 : x
  2. Step 2: Convert to fraction form
    13,758.30/20,629.11 = 7,509.63/x
  3. Step 3: Cross multiply
    13,758.30x = 20,629.11 × 7,509.63
  4. Step 4: Simplify right side
    13,758.30x = 154,916,983.33
  5. Step 5: Solve for x
    x = 154,916,983.33/13,758.30
  6. Step 6: Final answer
    x = 11,259.89

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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.