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Finding the Fourth Proportional to 6,475.80, 9,712.22 and 3,143.93

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Solution

The fourth proportional to 6,475.80, 9,712.22 and 3,143.93 is: 4,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.80 : 9,712.22 = 3,143.93 : x
  2. Step 2: Convert to fraction form
    6,475.80/9,712.22 = 3,143.93/x
  3. Step 3: Cross multiply
    6,475.80x = 9,712.22 × 3,143.93
  4. Step 4: Simplify right side
    6,475.80x = 30,534,493.62
  5. Step 5: Solve for x
    x = 30,534,493.62/6,475.80
  6. Step 6: Final answer
    x = 4,715.17

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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.