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Finding the Fourth Proportional to 13,187.80, 19,733.70 and 9,731.80

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Solution

The fourth proportional to 13,187.80, 19,733.70 and 9,731.80 is: 14,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.80 : 19,733.70 = 9,731.80 : x
  2. Step 2: Convert to fraction form
    13,187.80/19,733.70 = 9,731.80/x
  3. Step 3: Cross multiply
    13,187.80x = 19,733.70 × 9,731.80
  4. Step 4: Simplify right side
    13,187.80x = 192,044,421.66
  5. Step 5: Solve for x
    x = 192,044,421.66/13,187.80
  6. Step 6: Final answer
    x = 14,562.28

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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.