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Finding the Fourth Proportional to 11,291, 15,581.70 and 6,323

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Solution

The fourth proportional to 11,291, 15,581.70 and 6,323 is: 8,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291 : 15,581.70 = 6,323 : x
  2. Step 2: Convert to fraction form
    11,291/15,581.70 = 6,323/x
  3. Step 3: Cross multiply
    11,291x = 15,581.70 × 6,323
  4. Step 4: Simplify right side
    11,291x = 98,523,089.10
  5. Step 5: Solve for x
    x = 98,523,089.10/11,291
  6. Step 6: Final answer
    x = 8,725.81

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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.