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Finding the Fourth Proportional to 13,054, 19,581.72 and 3,820.72

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Solution

The fourth proportional to 13,054, 19,581.72 and 3,820.72 is: 5,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054 : 19,581.72 = 3,820.72 : x
  2. Step 2: Convert to fraction form
    13,054/19,581.72 = 3,820.72/x
  3. Step 3: Cross multiply
    13,054x = 19,581.72 × 3,820.72
  4. Step 4: Simplify right side
    13,054x = 74,816,269.24
  5. Step 5: Solve for x
    x = 74,816,269.24/13,054
  6. Step 6: Final answer
    x = 5,731.29

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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.