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Finding the Fourth Proportional to 23,170, 31,974.60 and 12,559.60

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Solution

The fourth proportional to 23,170, 31,974.60 and 12,559.60 is: 17,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,170 : 31,974.60 = 12,559.60 : x
  2. Step 2: Convert to fraction form
    23,170/31,974.60 = 12,559.60/x
  3. Step 3: Cross multiply
    23,170x = 31,974.60 × 12,559.60
  4. Step 4: Simplify right side
    23,170x = 401,588,186.16
  5. Step 5: Solve for x
    x = 401,588,186.16/23,170
  6. Step 6: Final answer
    x = 17,332.25

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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.