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Finding the Fourth Proportional to 21,986.39, 32,980.50 and 6,404.01

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Solution

The fourth proportional to 21,986.39, 32,980.50 and 6,404.01 is: 9,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.39 : 32,980.50 = 6,404.01 : x
  2. Step 2: Convert to fraction form
    21,986.39/32,980.50 = 6,404.01/x
  3. Step 3: Cross multiply
    21,986.39x = 32,980.50 × 6,404.01
  4. Step 4: Simplify right side
    21,986.39x = 211,207,451.81
  5. Step 5: Solve for x
    x = 211,207,451.81/21,986.39
  6. Step 6: Final answer
    x = 9,606.28

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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.