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Finding the Fourth Proportional to 15,638, 21,580.44 and 8,564.70

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Solution

The fourth proportional to 15,638, 21,580.44 and 8,564.70 is: 11,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638 : 21,580.44 = 8,564.70 : x
  2. Step 2: Convert to fraction form
    15,638/21,580.44 = 8,564.70/x
  3. Step 3: Cross multiply
    15,638x = 21,580.44 × 8,564.70
  4. Step 4: Simplify right side
    15,638x = 184,829,994.47
  5. Step 5: Solve for x
    x = 184,829,994.47/15,638
  6. Step 6: Final answer
    x = 11,819.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.