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Finding the Fourth Proportional to 28,258, 42,394.56 and 9,790

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Solution

The fourth proportional to 28,258, 42,394.56 and 9,790 is: 14,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,258 : 42,394.56 = 9,790 : x
  2. Step 2: Convert to fraction form
    28,258/42,394.56 = 9,790/x
  3. Step 3: Cross multiply
    28,258x = 42,394.56 × 9,790
  4. Step 4: Simplify right side
    28,258x = 415,042,742.40
  5. Step 5: Solve for x
    x = 415,042,742.40/28,258
  6. Step 6: Final answer
    x = 14,687.62

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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.