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Finding the Fourth Proportional to 15,026, 20,735.88 and 8,402

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Solution

The fourth proportional to 15,026, 20,735.88 and 8,402 is: 11,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,026 : 20,735.88 = 8,402 : x
  2. Step 2: Convert to fraction form
    15,026/20,735.88 = 8,402/x
  3. Step 3: Cross multiply
    15,026x = 20,735.88 × 8,402
  4. Step 4: Simplify right side
    15,026x = 174,222,863.76
  5. Step 5: Solve for x
    x = 174,222,863.76/15,026
  6. Step 6: Final answer
    x = 11,594.76

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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.