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Finding the Fourth Proportional to 23,019.75, 31,768.86 and 12,949.16

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Solution

The fourth proportional to 23,019.75, 31,768.86 and 12,949.16 is: 17,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.75 : 31,768.86 = 12,949.16 : x
  2. Step 2: Convert to fraction form
    23,019.75/31,768.86 = 12,949.16/x
  3. Step 3: Cross multiply
    23,019.75x = 31,768.86 × 12,949.16
  4. Step 4: Simplify right side
    23,019.75x = 411,379,892.31
  5. Step 5: Solve for x
    x = 411,379,892.31/23,019.75
  6. Step 6: Final answer
    x = 17,870.74

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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.