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Finding the Fourth Proportional to 20,779.72, 28,657.02 and 16,243

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Solution

The fourth proportional to 20,779.72, 28,657.02 and 16,243 is: 22,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779.72 : 28,657.02 = 16,243 : x
  2. Step 2: Convert to fraction form
    20,779.72/28,657.02 = 16,243/x
  3. Step 3: Cross multiply
    20,779.72x = 28,657.02 × 16,243
  4. Step 4: Simplify right side
    20,779.72x = 465,475,975.86
  5. Step 5: Solve for x
    x = 465,475,975.86/20,779.72
  6. Step 6: Final answer
    x = 22,400.49

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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.