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Finding the Fourth Proportional to 13,788, 20,684.88 and 5,580

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Solution

The fourth proportional to 13,788, 20,684.88 and 5,580 is: 8,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788 : 20,684.88 = 5,580 : x
  2. Step 2: Convert to fraction form
    13,788/20,684.88 = 5,580/x
  3. Step 3: Cross multiply
    13,788x = 20,684.88 × 5,580
  4. Step 4: Simplify right side
    13,788x = 115,421,630.40
  5. Step 5: Solve for x
    x = 115,421,630.40/13,788
  6. Step 6: Final answer
    x = 8,371.17

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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.