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Finding the Fourth Proportional to 11,486, 15,851.04 and 6,774.32

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Solution

The fourth proportional to 11,486, 15,851.04 and 6,774.32 is: 9,348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486 : 15,851.04 = 6,774.32 : x
  2. Step 2: Convert to fraction form
    11,486/15,851.04 = 6,774.32/x
  3. Step 3: Cross multiply
    11,486x = 15,851.04 × 6,774.32
  4. Step 4: Simplify right side
    11,486x = 107,380,017.29
  5. Step 5: Solve for x
    x = 107,380,017.29/11,486
  6. Step 6: Final answer
    x = 9,348.77

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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.