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Finding the Fourth Proportional to 19,779.88, 29,669.76 and 4,989.97

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Solution

The fourth proportional to 19,779.88, 29,669.76 and 4,989.97 is: 7,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,779.88 : 29,669.76 = 4,989.97 : x
  2. Step 2: Convert to fraction form
    19,779.88/29,669.76 = 4,989.97/x
  3. Step 3: Cross multiply
    19,779.88x = 29,669.76 × 4,989.97
  4. Step 4: Simplify right side
    19,779.88x = 148,051,212.31
  5. Step 5: Solve for x
    x = 148,051,212.31/19,779.88
  6. Step 6: Final answer
    x = 7,484.94

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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.