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Finding the Fourth Proportional to 17,078.70, 23,570.86 and 9,813.64

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Solution

The fourth proportional to 17,078.70, 23,570.86 and 9,813.64 is: 13,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.70 : 23,570.86 = 9,813.64 : x
  2. Step 2: Convert to fraction form
    17,078.70/23,570.86 = 9,813.64/x
  3. Step 3: Cross multiply
    17,078.70x = 23,570.86 × 9,813.64
  4. Step 4: Simplify right side
    17,078.70x = 231,315,934.53
  5. Step 5: Solve for x
    x = 231,315,934.53/17,078.70
  6. Step 6: Final answer
    x = 13,544.12

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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.