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Finding the Fourth Proportional to 20,264, 30,391.32 and 7,779.92

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Solution

The fourth proportional to 20,264, 30,391.32 and 7,779.92 is: 11,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264 : 30,391.32 = 7,779.92 : x
  2. Step 2: Convert to fraction form
    20,264/30,391.32 = 7,779.92/x
  3. Step 3: Cross multiply
    20,264x = 30,391.32 × 7,779.92
  4. Step 4: Simplify right side
    20,264x = 236,442,038.29
  5. Step 5: Solve for x
    x = 236,442,038.29/20,264
  6. Step 6: Final answer
    x = 11,668.08

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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.