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Finding the Fourth Proportional to 20,585.58, 30,860 and 7,435.02

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Solution

The fourth proportional to 20,585.58, 30,860 and 7,435.02 is: 11,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.58 : 30,860 = 7,435.02 : x
  2. Step 2: Convert to fraction form
    20,585.58/30,860 = 7,435.02/x
  3. Step 3: Cross multiply
    20,585.58x = 30,860 × 7,435.02
  4. Step 4: Simplify right side
    20,585.58x = 229,444,717.20
  5. Step 5: Solve for x
    x = 229,444,717.20/20,585.58
  6. Step 6: Final answer
    x = 11,145.90

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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.