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Finding the Fourth Proportional to 21,146.40, 31,721.09 and 6,355.40

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Solution

The fourth proportional to 21,146.40, 31,721.09 and 6,355.40 is: 9,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.40 : 31,721.09 = 6,355.40 : x
  2. Step 2: Convert to fraction form
    21,146.40/31,721.09 = 6,355.40/x
  3. Step 3: Cross multiply
    21,146.40x = 31,721.09 × 6,355.40
  4. Step 4: Simplify right side
    21,146.40x = 201,600,025.00
  5. Step 5: Solve for x
    x = 201,600,025.00/21,146.40
  6. Step 6: Final answer
    x = 9,533.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.