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Finding the Fourth Proportional to 3,181.50, 4,390.50 and 1,784.28

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Solution

The fourth proportional to 3,181.50, 4,390.50 and 1,784.28 is: 2,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.50 : 4,390.50 = 1,784.28 : x
  2. Step 2: Convert to fraction form
    3,181.50/4,390.50 = 1,784.28/x
  3. Step 3: Cross multiply
    3,181.50x = 4,390.50 × 1,784.28
  4. Step 4: Simplify right side
    3,181.50x = 7,833,881.34
  5. Step 5: Solve for x
    x = 7,833,881.34/3,181.50
  6. Step 6: Final answer
    x = 2,462.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.