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Finding the Fourth Proportional to 17,564.90, 26,310.55 and 8,212.90

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Solution

The fourth proportional to 17,564.90, 26,310.55 and 8,212.90 is: 12,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.90 : 26,310.55 = 8,212.90 : x
  2. Step 2: Convert to fraction form
    17,564.90/26,310.55 = 8,212.90/x
  3. Step 3: Cross multiply
    17,564.90x = 26,310.55 × 8,212.90
  4. Step 4: Simplify right side
    17,564.90x = 216,085,916.10
  5. Step 5: Solve for x
    x = 216,085,916.10/17,564.90
  6. Step 6: Final answer
    x = 12,302.14

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1.5x scale

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.