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Finding the Fourth Proportional to 11,381.46, 15,706.48 and 6,346

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Solution

The fourth proportional to 11,381.46, 15,706.48 and 6,346 is: 8,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.46 : 15,706.48 = 6,346 : x
  2. Step 2: Convert to fraction form
    11,381.46/15,706.48 = 6,346/x
  3. Step 3: Cross multiply
    11,381.46x = 15,706.48 × 6,346
  4. Step 4: Simplify right side
    11,381.46x = 99,673,322.08
  5. Step 5: Solve for x
    x = 99,673,322.08/11,381.46
  6. Step 6: Final answer
    x = 8,757.52

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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.