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Finding the Fourth Proportional to 15,638.90, 21,580.71 and 8,564.90

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Solution

The fourth proportional to 15,638.90, 21,580.71 and 8,564.90 is: 11,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.90 : 21,580.71 = 8,564.90 : x
  2. Step 2: Convert to fraction form
    15,638.90/21,580.71 = 8,564.90/x
  3. Step 3: Cross multiply
    15,638.90x = 21,580.71 × 8,564.90
  4. Step 4: Simplify right side
    15,638.90x = 184,836,623.08
  5. Step 5: Solve for x
    x = 184,836,623.08/15,638.90
  6. Step 6: Final answer
    x = 11,819.03

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1.5x scale

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.