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Finding the Fourth Proportional to 12,785, 17,651.38 and 9,795.28

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Solution

The fourth proportional to 12,785, 17,651.38 and 9,795.28 is: 13,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785 : 17,651.38 = 9,795.28 : x
  2. Step 2: Convert to fraction form
    12,785/17,651.38 = 9,795.28/x
  3. Step 3: Cross multiply
    12,785x = 17,651.38 × 9,795.28
  4. Step 4: Simplify right side
    12,785x = 172,900,209.49
  5. Step 5: Solve for x
    x = 172,900,209.49/12,785
  6. Step 6: Final answer
    x = 13,523.68

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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.