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Finding the Fourth Proportional to 13,807, 19,052.46 and 7,838.92

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Solution

The fourth proportional to 13,807, 19,052.46 and 7,838.92 is: 10,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807 : 19,052.46 = 7,838.92 : x
  2. Step 2: Convert to fraction form
    13,807/19,052.46 = 7,838.92/x
  3. Step 3: Cross multiply
    13,807x = 19,052.46 × 7,838.92
  4. Step 4: Simplify right side
    13,807x = 149,350,709.74
  5. Step 5: Solve for x
    x = 149,350,709.74/13,807
  6. Step 6: Final answer
    x = 10,817.03

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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.