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Finding the Fourth Proportional to 12,394.21, 17,097.67 and 7,913.25

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Solution

The fourth proportional to 12,394.21, 17,097.67 and 7,913.25 is: 10,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.21 : 17,097.67 = 7,913.25 : x
  2. Step 2: Convert to fraction form
    12,394.21/17,097.67 = 7,913.25/x
  3. Step 3: Cross multiply
    12,394.21x = 17,097.67 × 7,913.25
  4. Step 4: Simplify right side
    12,394.21x = 135,298,097.56
  5. Step 5: Solve for x
    x = 135,298,097.56/12,394.21
  6. Step 6: Final answer
    x = 10,916.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.