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Finding the Fourth Proportional to 20,498.58, 30,752.19 and 6,646.50

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Solution

The fourth proportional to 20,498.58, 30,752.19 and 6,646.50 is: 9,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.58 : 30,752.19 = 6,646.50 : x
  2. Step 2: Convert to fraction form
    20,498.58/30,752.19 = 6,646.50/x
  3. Step 3: Cross multiply
    20,498.58x = 30,752.19 × 6,646.50
  4. Step 4: Simplify right side
    20,498.58x = 204,394,430.84
  5. Step 5: Solve for x
    x = 204,394,430.84/20,498.58
  6. Step 6: Final answer
    x = 9,971.15

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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.