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Finding the Fourth Proportional to 21,386.86, 32,077.79 and 8,230.03

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Solution

The fourth proportional to 21,386.86, 32,077.79 and 8,230.03 is: 12,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.86 : 32,077.79 = 8,230.03 : x
  2. Step 2: Convert to fraction form
    21,386.86/32,077.79 = 8,230.03/x
  3. Step 3: Cross multiply
    21,386.86x = 32,077.79 × 8,230.03
  4. Step 4: Simplify right side
    21,386.86x = 264,001,132.88
  5. Step 5: Solve for x
    x = 264,001,132.88/21,386.86
  6. Step 6: Final answer
    x = 12,344.08

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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.