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Finding the Fourth Proportional to 20,903.04, 28,847.04 and 11,952

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Solution

The fourth proportional to 20,903.04, 28,847.04 and 11,952 is: 16,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903.04 : 28,847.04 = 11,952 : x
  2. Step 2: Convert to fraction form
    20,903.04/28,847.04 = 11,952/x
  3. Step 3: Cross multiply
    20,903.04x = 28,847.04 × 11,952
  4. Step 4: Simplify right side
    20,903.04x = 344,779,822.08
  5. Step 5: Solve for x
    x = 344,779,822.08/20,903.04
  6. Step 6: Final answer
    x = 16,494.24

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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.