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Finding the Fourth Proportional to 7,064.88, 9,749.16 and 3,921

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Solution

The fourth proportional to 7,064.88, 9,749.16 and 3,921 is: 5,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.88 : 9,749.16 = 3,921 : x
  2. Step 2: Convert to fraction form
    7,064.88/9,749.16 = 3,921/x
  3. Step 3: Cross multiply
    7,064.88x = 9,749.16 × 3,921
  4. Step 4: Simplify right side
    7,064.88x = 38,226,456.36
  5. Step 5: Solve for x
    x = 38,226,456.36/7,064.88
  6. Step 6: Final answer
    x = 5,410.77

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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.