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Finding the Fourth Proportional to 20,646.56, 30,971.90 and 6,603.06

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Solution

The fourth proportional to 20,646.56, 30,971.90 and 6,603.06 is: 9,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.56 : 30,971.90 = 6,603.06 : x
  2. Step 2: Convert to fraction form
    20,646.56/30,971.90 = 6,603.06/x
  3. Step 3: Cross multiply
    20,646.56x = 30,971.90 × 6,603.06
  4. Step 4: Simplify right side
    20,646.56x = 204,509,281.00
  5. Step 5: Solve for x
    x = 204,509,281.00/20,646.56
  6. Step 6: Final answer
    x = 9,905.25

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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.