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Finding the Fourth Proportional to 11,307.78, 16,961.64 and 7,411.26

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Solution

The fourth proportional to 11,307.78, 16,961.64 and 7,411.26 is: 11,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.78 : 16,961.64 = 7,411.26 : x
  2. Step 2: Convert to fraction form
    11,307.78/16,961.64 = 7,411.26/x
  3. Step 3: Cross multiply
    11,307.78x = 16,961.64 × 7,411.26
  4. Step 4: Simplify right side
    11,307.78x = 125,707,124.07
  5. Step 5: Solve for x
    x = 125,707,124.07/11,307.78
  6. Step 6: Final answer
    x = 11,116.87

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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.