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Finding the Fourth Proportional to 15,697.80, 21,658.32 and 13,041

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Solution

The fourth proportional to 15,697.80, 21,658.32 and 13,041 is: 17,992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.80 : 21,658.32 = 13,041 : x
  2. Step 2: Convert to fraction form
    15,697.80/21,658.32 = 13,041/x
  3. Step 3: Cross multiply
    15,697.80x = 21,658.32 × 13,041
  4. Step 4: Simplify right side
    15,697.80x = 282,446,151.12
  5. Step 5: Solve for x
    x = 282,446,151.12/15,697.80
  6. Step 6: Final answer
    x = 17,992.72

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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.