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Finding the Fourth Proportional to 11,440, 17,083.86 and 11,316.29

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Solution

The fourth proportional to 11,440, 17,083.86 and 11,316.29 is: 16,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440 : 17,083.86 = 11,316.29 : x
  2. Step 2: Convert to fraction form
    11,440/17,083.86 = 11,316.29/x
  3. Step 3: Cross multiply
    11,440x = 17,083.86 × 11,316.29
  4. Step 4: Simplify right side
    11,440x = 193,325,914.08
  5. Step 5: Solve for x
    x = 193,325,914.08/11,440
  6. Step 6: Final answer
    x = 16,899.12

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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.