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Finding the Fourth Proportional to 7,065, 9,749.70 and 3,921.48

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Solution

The fourth proportional to 7,065, 9,749.70 and 3,921.48 is: 5,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065 : 9,749.70 = 3,921.48 : x
  2. Step 2: Convert to fraction form
    7,065/9,749.70 = 3,921.48/x
  3. Step 3: Cross multiply
    7,065x = 9,749.70 × 3,921.48
  4. Step 4: Simplify right side
    7,065x = 38,233,253.56
  5. Step 5: Solve for x
    x = 38,233,253.56/7,065
  6. Step 6: Final answer
    x = 5,411.64

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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.