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Finding the Fourth Proportional to 9,201.38, 12,697.90 and 5,009.63

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Solution

The fourth proportional to 9,201.38, 12,697.90 and 5,009.63 is: 6,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.38 : 12,697.90 = 5,009.63 : x
  2. Step 2: Convert to fraction form
    9,201.38/12,697.90 = 5,009.63/x
  3. Step 3: Cross multiply
    9,201.38x = 12,697.90 × 5,009.63
  4. Step 4: Simplify right side
    9,201.38x = 63,611,780.78
  5. Step 5: Solve for x
    x = 63,611,780.78/9,201.38
  6. Step 6: Final answer
    x = 6,913.29

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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.