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Finding the Fourth Proportional to 28,291.44, 42,435 and 9,573.04

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Solution

The fourth proportional to 28,291.44, 42,435 and 9,573.04 is: 14,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,291.44 : 42,435 = 9,573.04 : x
  2. Step 2: Convert to fraction form
    28,291.44/42,435 = 9,573.04/x
  3. Step 3: Cross multiply
    28,291.44x = 42,435 × 9,573.04
  4. Step 4: Simplify right side
    28,291.44x = 406,231,952.40
  5. Step 5: Solve for x
    x = 406,231,952.40/28,291.44
  6. Step 6: Final answer
    x = 14,358.83

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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.