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Finding the Fourth Proportional to 12,757.50, 17,607.24 and 7,455.24

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Solution

The fourth proportional to 12,757.50, 17,607.24 and 7,455.24 is: 10,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.50 : 17,607.24 = 7,455.24 : x
  2. Step 2: Convert to fraction form
    12,757.50/17,607.24 = 7,455.24/x
  3. Step 3: Cross multiply
    12,757.50x = 17,607.24 × 7,455.24
  4. Step 4: Simplify right side
    12,757.50x = 131,266,199.94
  5. Step 5: Solve for x
    x = 131,266,199.94/12,757.50
  6. Step 6: Final answer
    x = 10,289.34

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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.