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Finding the Fourth Proportional to 15,676.76, 21,634.62 and 9,389

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Solution

The fourth proportional to 15,676.76, 21,634.62 and 9,389 is: 12,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.76 : 21,634.62 = 9,389 : x
  2. Step 2: Convert to fraction form
    15,676.76/21,634.62 = 9,389/x
  3. Step 3: Cross multiply
    15,676.76x = 21,634.62 × 9,389
  4. Step 4: Simplify right side
    15,676.76x = 203,127,447.18
  5. Step 5: Solve for x
    x = 203,127,447.18/15,676.76
  6. Step 6: Final answer
    x = 12,957.23

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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.