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Finding the Fourth Proportional to 12,787, 19,180.50 and 3,553

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Solution

The fourth proportional to 12,787, 19,180.50 and 3,553 is: 5,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787 : 19,180.50 = 3,553 : x
  2. Step 2: Convert to fraction form
    12,787/19,180.50 = 3,553/x
  3. Step 3: Cross multiply
    12,787x = 19,180.50 × 3,553
  4. Step 4: Simplify right side
    12,787x = 68,148,316.50
  5. Step 5: Solve for x
    x = 68,148,316.50/12,787
  6. Step 6: Final answer
    x = 5,329.50

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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.