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Finding the Fourth Proportional to 20,382, 30,573.90 and 5,590.58

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Solution

The fourth proportional to 20,382, 30,573.90 and 5,590.58 is: 8,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382 : 30,573.90 = 5,590.58 : x
  2. Step 2: Convert to fraction form
    20,382/30,573.90 = 5,590.58/x
  3. Step 3: Cross multiply
    20,382x = 30,573.90 × 5,590.58
  4. Step 4: Simplify right side
    20,382x = 170,925,833.86
  5. Step 5: Solve for x
    x = 170,925,833.86/20,382
  6. Step 6: Final answer
    x = 8,386.12

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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.