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Finding the Fourth Proportional to 9,201.40, 12,697.94 and 5,009.56

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Solution

The fourth proportional to 9,201.40, 12,697.94 and 5,009.56 is: 6,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.40 : 12,697.94 = 5,009.56 : x
  2. Step 2: Convert to fraction form
    9,201.40/12,697.94 = 5,009.56/x
  3. Step 3: Cross multiply
    9,201.40x = 12,697.94 × 5,009.56
  4. Step 4: Simplify right side
    9,201.40x = 63,611,092.31
  5. Step 5: Solve for x
    x = 63,611,092.31/9,201.40
  6. Step 6: Final answer
    x = 6,913.20

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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.