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Finding the Fourth Proportional to 14,125.50, 21,188.25 and 7,969.50

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Solution

The fourth proportional to 14,125.50, 21,188.25 and 7,969.50 is: 11,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.50 : 21,188.25 = 7,969.50 : x
  2. Step 2: Convert to fraction form
    14,125.50/21,188.25 = 7,969.50/x
  3. Step 3: Cross multiply
    14,125.50x = 21,188.25 × 7,969.50
  4. Step 4: Simplify right side
    14,125.50x = 168,859,758.38
  5. Step 5: Solve for x
    x = 168,859,758.38/14,125.50
  6. Step 6: Final answer
    x = 11,954.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.