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Finding the Fourth Proportional to 10,953, 15,115.14 and 6,768.54

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Solution

The fourth proportional to 10,953, 15,115.14 and 6,768.54 is: 9,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953 : 15,115.14 = 6,768.54 : x
  2. Step 2: Convert to fraction form
    10,953/15,115.14 = 6,768.54/x
  3. Step 3: Cross multiply
    10,953x = 15,115.14 × 6,768.54
  4. Step 4: Simplify right side
    10,953x = 102,307,429.70
  5. Step 5: Solve for x
    x = 102,307,429.70/10,953
  6. Step 6: Final answer
    x = 9,340.59

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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.