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Finding the Fourth Proportional to 11,511.12, 17,254.64 and 7,813.64

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Solution

The fourth proportional to 11,511.12, 17,254.64 and 7,813.64 is: 11,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.12 : 17,254.64 = 7,813.64 : x
  2. Step 2: Convert to fraction form
    11,511.12/17,254.64 = 7,813.64/x
  3. Step 3: Cross multiply
    11,511.12x = 17,254.64 × 7,813.64
  4. Step 4: Simplify right side
    11,511.12x = 134,821,545.29
  5. Step 5: Solve for x
    x = 134,821,545.29/11,511.12
  6. Step 6: Final answer
    x = 11,712.29

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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.