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Finding the Fourth Proportional to 11,451.34, 15,805.29 and 6,738.31

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Solution

The fourth proportional to 11,451.34, 15,805.29 and 6,738.31 is: 9,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.34 : 15,805.29 = 6,738.31 : x
  2. Step 2: Convert to fraction form
    11,451.34/15,805.29 = 6,738.31/x
  3. Step 3: Cross multiply
    11,451.34x = 15,805.29 × 6,738.31
  4. Step 4: Simplify right side
    11,451.34x = 106,500,943.66
  5. Step 5: Solve for x
    x = 106,500,943.66/11,451.34
  6. Step 6: Final answer
    x = 9,300.30

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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.