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Finding the Fourth Proportional to 12,980.32, 17,910.48 and 7,390.24

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Solution

The fourth proportional to 12,980.32, 17,910.48 and 7,390.24 is: 10,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.32 : 17,910.48 = 7,390.24 : x
  2. Step 2: Convert to fraction form
    12,980.32/17,910.48 = 7,390.24/x
  3. Step 3: Cross multiply
    12,980.32x = 17,910.48 × 7,390.24
  4. Step 4: Simplify right side
    12,980.32x = 132,362,745.72
  5. Step 5: Solve for x
    x = 132,362,745.72/12,980.32
  6. Step 6: Final answer
    x = 10,197.19

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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.