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Finding the Fourth Proportional to 13,812.63, 19,060.72 and 7,843.53

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Solution

The fourth proportional to 13,812.63, 19,060.72 and 7,843.53 is: 10,823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.63 : 19,060.72 = 7,843.53 : x
  2. Step 2: Convert to fraction form
    13,812.63/19,060.72 = 7,843.53/x
  3. Step 3: Cross multiply
    13,812.63x = 19,060.72 × 7,843.53
  4. Step 4: Simplify right side
    13,812.63x = 149,503,381.01
  5. Step 5: Solve for x
    x = 149,503,381.01/13,812.63
  6. Step 6: Final answer
    x = 10,823.68

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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.