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Finding the Fourth Proportional to 28,265, 42,405.08 and 9,797

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Solution

The fourth proportional to 28,265, 42,405.08 and 9,797 is: 14,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,265 : 42,405.08 = 9,797 : x
  2. Step 2: Convert to fraction form
    28,265/42,405.08 = 9,797/x
  3. Step 3: Cross multiply
    28,265x = 42,405.08 × 9,797
  4. Step 4: Simplify right side
    28,265x = 415,442,568.76
  5. Step 5: Solve for x
    x = 415,442,568.76/28,265
  6. Step 6: Final answer
    x = 14,698.13

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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.