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Finding the Fourth Proportional to 19,763.66, 29,650.46 and 13,931.66

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Solution

The fourth proportional to 19,763.66, 29,650.46 and 13,931.66 is: 20,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.66 : 29,650.46 = 13,931.66 : x
  2. Step 2: Convert to fraction form
    19,763.66/29,650.46 = 13,931.66/x
  3. Step 3: Cross multiply
    19,763.66x = 29,650.46 × 13,931.66
  4. Step 4: Simplify right side
    19,763.66x = 413,080,132.03
  5. Step 5: Solve for x
    x = 413,080,132.03/19,763.66
  6. Step 6: Final answer
    x = 20,900.99

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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.