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Finding the Fourth Proportional to 7,905.84, 11,854.80 and 2,639.01

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Solution

The fourth proportional to 7,905.84, 11,854.80 and 2,639.01 is: 3,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.84 : 11,854.80 = 2,639.01 : x
  2. Step 2: Convert to fraction form
    7,905.84/11,854.80 = 2,639.01/x
  3. Step 3: Cross multiply
    7,905.84x = 11,854.80 × 2,639.01
  4. Step 4: Simplify right side
    7,905.84x = 31,284,935.75
  5. Step 5: Solve for x
    x = 31,284,935.75/7,905.84
  6. Step 6: Final answer
    x = 3,957.19

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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.