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Finding the Fourth Proportional to 13,050, 19,575.72 and 3,816.72

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Solution

The fourth proportional to 13,050, 19,575.72 and 3,816.72 is: 5,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050 : 19,575.72 = 3,816.72 : x
  2. Step 2: Convert to fraction form
    13,050/19,575.72 = 3,816.72/x
  3. Step 3: Cross multiply
    13,050x = 19,575.72 × 3,816.72
  4. Step 4: Simplify right side
    13,050x = 74,715,042.04
  5. Step 5: Solve for x
    x = 74,715,042.04/13,050
  6. Step 6: Final answer
    x = 5,725.29

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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.