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Finding the Fourth Proportional to 17,779.71, 24,534.75 and 9,821.88

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Solution

The fourth proportional to 17,779.71, 24,534.75 and 9,821.88 is: 13,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.71 : 24,534.75 = 9,821.88 : x
  2. Step 2: Convert to fraction form
    17,779.71/24,534.75 = 9,821.88/x
  3. Step 3: Cross multiply
    17,779.71x = 24,534.75 × 9,821.88
  4. Step 4: Simplify right side
    17,779.71x = 240,977,370.33
  5. Step 5: Solve for x
    x = 240,977,370.33/17,779.71
  6. Step 6: Final answer
    x = 13,553.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.