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Finding the Fourth Proportional to 11,384.97, 15,710.94 and 6,349.34

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Solution

The fourth proportional to 11,384.97, 15,710.94 and 6,349.34 is: 8,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.97 : 15,710.94 = 6,349.34 : x
  2. Step 2: Convert to fraction form
    11,384.97/15,710.94 = 6,349.34/x
  3. Step 3: Cross multiply
    11,384.97x = 15,710.94 × 6,349.34
  4. Step 4: Simplify right side
    11,384.97x = 99,754,021.22
  5. Step 5: Solve for x
    x = 99,754,021.22/11,384.97
  6. Step 6: Final answer
    x = 8,761.90

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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.