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Finding the Fourth Proportional to 7,114.14, 9,819.28 and 4,321.98

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Solution

The fourth proportional to 7,114.14, 9,819.28 and 4,321.98 is: 5,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.14 : 9,819.28 = 4,321.98 : x
  2. Step 2: Convert to fraction form
    7,114.14/9,819.28 = 4,321.98/x
  3. Step 3: Cross multiply
    7,114.14x = 9,819.28 × 4,321.98
  4. Step 4: Simplify right side
    7,114.14x = 42,438,710.16
  5. Step 5: Solve for x
    x = 42,438,710.16/7,114.14
  6. Step 6: Final answer
    x = 5,965.40

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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.