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Finding the Fourth Proportional to 3,173.95, 4,760.93 and 865.45

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Solution

The fourth proportional to 3,173.95, 4,760.93 and 865.45 is: 1,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.95 : 4,760.93 = 865.45 : x
  2. Step 2: Convert to fraction form
    3,173.95/4,760.93 = 865.45/x
  3. Step 3: Cross multiply
    3,173.95x = 4,760.93 × 865.45
  4. Step 4: Simplify right side
    3,173.95x = 4,120,346.87
  5. Step 5: Solve for x
    x = 4,120,346.87/3,173.95
  6. Step 6: Final answer
    x = 1,298.18

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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.