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Finding the Fourth Proportional to 21,569.78, 32,354.64 and 6,779.99

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Solution

The fourth proportional to 21,569.78, 32,354.64 and 6,779.99 is: 10,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,569.78 : 32,354.64 = 6,779.99 : x
  2. Step 2: Convert to fraction form
    21,569.78/32,354.64 = 6,779.99/x
  3. Step 3: Cross multiply
    21,569.78x = 32,354.64 × 6,779.99
  4. Step 4: Simplify right side
    21,569.78x = 219,363,973.88
  5. Step 5: Solve for x
    x = 219,363,973.88/21,569.78
  6. Step 6: Final answer
    x = 10,169.97

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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.