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Finding the Fourth Proportional to 19,196, 28,747.56 and 9,310.80

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Solution

The fourth proportional to 19,196, 28,747.56 and 9,310.80 is: 13,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,196 : 28,747.56 = 9,310.80 : x
  2. Step 2: Convert to fraction form
    19,196/28,747.56 = 9,310.80/x
  3. Step 3: Cross multiply
    19,196x = 28,747.56 × 9,310.80
  4. Step 4: Simplify right side
    19,196x = 267,662,781.65
  5. Step 5: Solve for x
    x = 267,662,781.65/19,196
  6. Step 6: Final answer
    x = 13,943.67

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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.