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Finding the Fourth Proportional to 21,201.94, 31,808.31 and 9,519.58

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Solution

The fourth proportional to 21,201.94, 31,808.31 and 9,519.58 is: 14,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.94 : 31,808.31 = 9,519.58 : x
  2. Step 2: Convert to fraction form
    21,201.94/31,808.31 = 9,519.58/x
  3. Step 3: Cross multiply
    21,201.94x = 31,808.31 × 9,519.58
  4. Step 4: Simplify right side
    21,201.94x = 302,801,751.71
  5. Step 5: Solve for x
    x = 302,801,751.71/21,201.94
  6. Step 6: Final answer
    x = 14,281.79

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1.5x scale

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.