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Finding the Fourth Proportional to 11,563.80, 15,959.33 and 6,848.38

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Solution

The fourth proportional to 11,563.80, 15,959.33 and 6,848.38 is: 9,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.80 : 15,959.33 = 6,848.38 : x
  2. Step 2: Convert to fraction form
    11,563.80/15,959.33 = 6,848.38/x
  3. Step 3: Cross multiply
    11,563.80x = 15,959.33 × 6,848.38
  4. Step 4: Simplify right side
    11,563.80x = 109,295,556.39
  5. Step 5: Solve for x
    x = 109,295,556.39/11,563.80
  6. Step 6: Final answer
    x = 9,451.53

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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.