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Finding the Fourth Proportional to 6,355.81, 9,531.18 and 1,972.09

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Solution

The fourth proportional to 6,355.81, 9,531.18 and 1,972.09 is: 2,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.81 : 9,531.18 = 1,972.09 : x
  2. Step 2: Convert to fraction form
    6,355.81/9,531.18 = 1,972.09/x
  3. Step 3: Cross multiply
    6,355.81x = 9,531.18 × 1,972.09
  4. Step 4: Simplify right side
    6,355.81x = 18,796,344.77
  5. Step 5: Solve for x
    x = 18,796,344.77/6,355.81
  6. Step 6: Final answer
    x = 2,957.35

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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.