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Finding the Fourth Proportional to 12,965.65, 17,893.17 and 7,302.70

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Solution

The fourth proportional to 12,965.65, 17,893.17 and 7,302.70 is: 10,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.65 : 17,893.17 = 7,302.70 : x
  2. Step 2: Convert to fraction form
    12,965.65/17,893.17 = 7,302.70/x
  3. Step 3: Cross multiply
    12,965.65x = 17,893.17 × 7,302.70
  4. Step 4: Simplify right side
    12,965.65x = 130,668,452.56
  5. Step 5: Solve for x
    x = 130,668,452.56/12,965.65
  6. Step 6: Final answer
    x = 10,078.05

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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.