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Finding the Fourth Proportional to 6,443.17, 9,671 and 3,113.76

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Solution

The fourth proportional to 6,443.17, 9,671 and 3,113.76 is: 4,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.17 : 9,671 = 3,113.76 : x
  2. Step 2: Convert to fraction form
    6,443.17/9,671 = 3,113.76/x
  3. Step 3: Cross multiply
    6,443.17x = 9,671 × 3,113.76
  4. Step 4: Simplify right side
    6,443.17x = 30,113,172.96
  5. Step 5: Solve for x
    x = 30,113,172.96/6,443.17
  6. Step 6: Final answer
    x = 4,673.66

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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.