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Finding the Fourth Proportional to 7,271.64, 10,905.51 and 2,005.40

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Solution

The fourth proportional to 7,271.64, 10,905.51 and 2,005.40 is: 3,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.64 : 10,905.51 = 2,005.40 : x
  2. Step 2: Convert to fraction form
    7,271.64/10,905.51 = 2,005.40/x
  3. Step 3: Cross multiply
    7,271.64x = 10,905.51 × 2,005.40
  4. Step 4: Simplify right side
    7,271.64x = 21,869,855.23
  5. Step 5: Solve for x
    x = 21,869,855.23/7,271.64
  6. Step 6: Final answer
    x = 3,007.55

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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.