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Finding the Fourth Proportional to 11,513.78, 17,205.13 and 8,645.57

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Solution

The fourth proportional to 11,513.78, 17,205.13 and 8,645.57 is: 12,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.78 : 17,205.13 = 8,645.57 : x
  2. Step 2: Convert to fraction form
    11,513.78/17,205.13 = 8,645.57/x
  3. Step 3: Cross multiply
    11,513.78x = 17,205.13 × 8,645.57
  4. Step 4: Simplify right side
    11,513.78x = 148,748,145.07
  5. Step 5: Solve for x
    x = 148,748,145.07/11,513.78
  6. Step 6: Final answer
    x = 12,919.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.