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Finding the Fourth Proportional to 12,758.54, 17,608.17 and 7,455.14

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Solution

The fourth proportional to 12,758.54, 17,608.17 and 7,455.14 is: 10,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.54 : 17,608.17 = 7,455.14 : x
  2. Step 2: Convert to fraction form
    12,758.54/17,608.17 = 7,455.14/x
  3. Step 3: Cross multiply
    12,758.54x = 17,608.17 × 7,455.14
  4. Step 4: Simplify right side
    12,758.54x = 131,271,372.49
  5. Step 5: Solve for x
    x = 131,271,372.49/12,758.54
  6. Step 6: Final answer
    x = 10,288.90

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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.