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Finding the Fourth Proportional to 19,713.76, 29,570.64 and 11,500

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Solution

The fourth proportional to 19,713.76, 29,570.64 and 11,500 is: 17,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.76 : 29,570.64 = 11,500 : x
  2. Step 2: Convert to fraction form
    19,713.76/29,570.64 = 11,500/x
  3. Step 3: Cross multiply
    19,713.76x = 29,570.64 × 11,500
  4. Step 4: Simplify right side
    19,713.76x = 340,062,360
  5. Step 5: Solve for x
    x = 340,062,360/19,713.76
  6. Step 6: Final answer
    x = 17,250

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.