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Finding the Fourth Proportional to 5,100.81, 7,643.93 and 2,905.00

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Solution

The fourth proportional to 5,100.81, 7,643.93 and 2,905.00 is: 4,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.81 : 7,643.93 = 2,905.00 : x
  2. Step 2: Convert to fraction form
    5,100.81/7,643.93 = 2,905.00/x
  3. Step 3: Cross multiply
    5,100.81x = 7,643.93 × 2,905.00
  4. Step 4: Simplify right side
    5,100.81x = 22,205,611.68
  5. Step 5: Solve for x
    x = 22,205,611.68/5,100.81
  6. Step 6: Final answer
    x = 4,353.35

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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.