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Finding the Fourth Proportional to 13,032.59, 17,980.43 and 7,992.90

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Solution

The fourth proportional to 13,032.59, 17,980.43 and 7,992.90 is: 11,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.59 : 17,980.43 = 7,992.90 : x
  2. Step 2: Convert to fraction form
    13,032.59/17,980.43 = 7,992.90/x
  3. Step 3: Cross multiply
    13,032.59x = 17,980.43 × 7,992.90
  4. Step 4: Simplify right side
    13,032.59x = 143,715,738.98
  5. Step 5: Solve for x
    x = 143,715,738.98/13,032.59
  6. Step 6: Final answer
    x = 11,027.42

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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.