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Finding the Fourth Proportional to 5,271.25, 7,908.09 and 1,808.50

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Solution

The fourth proportional to 5,271.25, 7,908.09 and 1,808.50 is: 2,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.25 : 7,908.09 = 1,808.50 : x
  2. Step 2: Convert to fraction form
    5,271.25/7,908.09 = 1,808.50/x
  3. Step 3: Cross multiply
    5,271.25x = 7,908.09 × 1,808.50
  4. Step 4: Simplify right side
    5,271.25x = 14,301,780.77
  5. Step 5: Solve for x
    x = 14,301,780.77/5,271.25
  6. Step 6: Final answer
    x = 2,713.17

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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.