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Finding the Fourth Proportional to 13,143, 19,713.78 and 5,358.36

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Solution

The fourth proportional to 13,143, 19,713.78 and 5,358.36 is: 8,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143 : 19,713.78 = 5,358.36 : x
  2. Step 2: Convert to fraction form
    13,143/19,713.78 = 5,358.36/x
  3. Step 3: Cross multiply
    13,143x = 19,713.78 × 5,358.36
  4. Step 4: Simplify right side
    13,143x = 105,633,530.20
  5. Step 5: Solve for x
    x = 105,633,530.20/13,143
  6. Step 6: Final answer
    x = 8,037.25

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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.