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Finding the Fourth Proportional to 19,765.10, 29,659.32 and 7,293.87

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Solution

The fourth proportional to 19,765.10, 29,659.32 and 7,293.87 is: 10,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.10 : 29,659.32 = 7,293.87 : x
  2. Step 2: Convert to fraction form
    19,765.10/29,659.32 = 7,293.87/x
  3. Step 3: Cross multiply
    19,765.10x = 29,659.32 × 7,293.87
  4. Step 4: Simplify right side
    19,765.10x = 216,331,224.37
  5. Step 5: Solve for x
    x = 216,331,224.37/19,765.10
  6. Step 6: Final answer
    x = 10,945.11

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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.