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Finding the Fourth Proportional to 14,436.12, 19,921.92 and 7,812.12

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Solution

The fourth proportional to 14,436.12, 19,921.92 and 7,812.12 is: 10,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436.12 : 19,921.92 = 7,812.12 : x
  2. Step 2: Convert to fraction form
    14,436.12/19,921.92 = 7,812.12/x
  3. Step 3: Cross multiply
    14,436.12x = 19,921.92 × 7,812.12
  4. Step 4: Simplify right side
    14,436.12x = 155,632,429.67
  5. Step 5: Solve for x
    x = 155,632,429.67/14,436.12
  6. Step 6: Final answer
    x = 10,780.77

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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.