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Finding the Fourth Proportional to 11,524.80, 15,896.40 and 7,042.80

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Solution

The fourth proportional to 11,524.80, 15,896.40 and 7,042.80 is: 9,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.80 : 15,896.40 = 7,042.80 : x
  2. Step 2: Convert to fraction form
    11,524.80/15,896.40 = 7,042.80/x
  3. Step 3: Cross multiply
    11,524.80x = 15,896.40 × 7,042.80
  4. Step 4: Simplify right side
    11,524.80x = 111,955,165.92
  5. Step 5: Solve for x
    x = 111,955,165.92/11,524.80
  6. Step 6: Final answer
    x = 9,714.28

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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.