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Finding the Fourth Proportional to 11,486, 15,848.20 and 6,768.56

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Solution

The fourth proportional to 11,486, 15,848.20 and 6,768.56 is: 9,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486 : 15,848.20 = 6,768.56 : x
  2. Step 2: Convert to fraction form
    11,486/15,848.20 = 6,768.56/x
  3. Step 3: Cross multiply
    11,486x = 15,848.20 × 6,768.56
  4. Step 4: Simplify right side
    11,486x = 107,269,492.59
  5. Step 5: Solve for x
    x = 107,269,492.59/11,486
  6. Step 6: Final answer
    x = 9,339.15

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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.