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Finding the Fourth Proportional to 5,210.81, 7,817.03 and 1,747.25

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Solution

The fourth proportional to 5,210.81, 7,817.03 and 1,747.25 is: 2,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.81 : 7,817.03 = 1,747.25 : x
  2. Step 2: Convert to fraction form
    5,210.81/7,817.03 = 1,747.25/x
  3. Step 3: Cross multiply
    5,210.81x = 7,817.03 × 1,747.25
  4. Step 4: Simplify right side
    5,210.81x = 13,658,305.67
  5. Step 5: Solve for x
    x = 13,658,305.67/5,210.81
  6. Step 6: Final answer
    x = 2,621.15

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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.