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Finding the Fourth Proportional to 11,851, 16,354.38 and 7,135.48

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Solution

The fourth proportional to 11,851, 16,354.38 and 7,135.48 is: 9,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851 : 16,354.38 = 7,135.48 : x
  2. Step 2: Convert to fraction form
    11,851/16,354.38 = 7,135.48/x
  3. Step 3: Cross multiply
    11,851x = 16,354.38 × 7,135.48
  4. Step 4: Simplify right side
    11,851x = 116,696,351.40
  5. Step 5: Solve for x
    x = 116,696,351.40/11,851
  6. Step 6: Final answer
    x = 9,846.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.